I got a Google account that was shut down after some spammer started using that email as the sender address (sometimes called a Joe job). I somehow got in contact with an employee (friend of a friend) that checked on the account and verified it wasn't my fault and reopened it, but a week later it got closed automatically again, with no easy way to reopen it.

The backscatter was hundreds of emails per day, so the email part of the account was useless anyway, but I used it for other things.

So it can happen at no fault on your own, and impossible to do anything about.