I noticed the chat bots are gone, how can we check !round status? There were only 3 idlers in chat.
That's a net split (IRC lingo). The bot and everyone else were still there, but they couldn't see you 3, and you 3 couldn't see them. Happens on IRC sometimes. People are talking in the same channel, but they are separated into different islands that cannot communicate.
Also, 3 days no blocks at 650-700 THPS? Is that statistically even possible?
It's not really about 3 days. It's about the amount of work and the difficulty. You can sum that up with CDF. The CDF is currently 99.77% which is very bad luck - but we have seen worse in the past.
It is statistically possible that the biggest pool never finds another block ever again. But it's extremely unlikely.