Its a widespread problem. Blizz has dropped the ball in regards to letting people know there is a problem. Nothing on launcher or twitter. 8/19 - Stuck at Logging in to game server
that link seems to be the main thread in regards to the problems logging in. As of now there isn’t a whole lot there from Blizz aside from ‘we’re working on it’ posted a few hours ago.
Using a VPN has been reported to work.