There are a few things that could cause a failure, if indeed that is what happened. I'm assuming that you have, but did you check to make sure that (a) the mute isn't on and (b) the speakers weren't shut off? Like you said, other people use it, so maybe they did one of those things.
In case it was a failure, what speakers do you have connected to it? I'm asking so that we can check (unless you already know) if the impedance of the speakers might have been an issue.
From your description, I wouldn't expect that heat would have caused a good unit to fail. Being left on for hours isn't anything out of the ordinary.