Hyper-verbal means extremely early complex speech - it often goes with hyperlexia, the precocious ability to read. Both are often seen with ASD, though neither is diagnostic of it. They're sort of the other extreme from being non-verbal in that they are less about communication and more about the ability to decode and process language.
DS hsa never been a particularl motivated communicator. But he started saying single words clearly (with correct meaning) at 10 months, knew hundreds of words by about 14 months, started talking in phrases and was referring between the alphabet on his wall and letters in words in books at 16 months, full sentences and reading some written-out words by about 18 months. He could also count (as opposed to reciting numbers) and identify numbers, at 19 months. He was also recognizing lots of birds by their songs, able to recognize lots of plants, knew all sorts of tunes, etc. So I started out as ultra-smug mummy of the freakily precocious child at playgroup.
When he regressed around the age of 2, a lot of the pattern-matching stuff - reading, counting, recognizing numbers, enjoying taxonomizing plants - seemed to get lost. It is very, very slowly returning on a much more normal developmental timescale, and he is now behind other children in terms of recognizing letters and numbers reliably, sorting things, doing puzzles, doing tasks involving multiple steps, etc. He also isn't asking questions involving how, why, who etc yet - just wants to know what things are and retain facts about things, so really isn't very good at connected thinking. I think this will show up as bigger social deficits as he gets older: it seems to signal a lack of ability to sequence thought correctly.
But his language has stayed complex, a lot of the knowledge behind it has remained and been built on, and the very precise auditory processing has become even more acute. Today he was playing with a set of tuning forks and singing the intervals between them, and trying to sing the beats between A=426 Hz and A=440 Hz...
DS can sometimes socialize spontaneously and happily, with a child he knows very well, when he's feeling good and relaxed. More often than not though playdates - even with a child he knows well - involve him deciding to do his own thing, usually requiring my complete attention, and getting cranky when i try to attend to the guests...
If you look at the ESDM manuals I mentioned above, they deal with the specific cognitive and social deficits that might underlie what I've described here. ESDM therapy does seem to be making a difference to DS, and it has a good evidence base - so it might be useful.