There are 61054 web site spaces remaining. After that, we need your help to get another server. Does that mean he's running 61k sites on a single server? Even if each site gets one single visitor per day, that 61k visitors for the Server. There is no way the server can manage that traffic. Sorry, but do you really want a static site? Just pay for a good one.
Assuming text pages, the full 61k sites could be accessed every 15 seconds. If the pages have nontrivial graphics, then you're (as others have mentioned) far more likely to be bandwidth-limited. If the site has an unmetered 10Mbps connection, then it could serve 1Mbyte per second: If each of those 61k pages contained 1MB of data, then it would STILL be able to serve (at most) 86k pages per day.
It's likely that most of the pages hosted will be accessed less than once a day, though. Power law distribution of the long tail [1] and all that. And a megabyte is a lot of data for a single web page; I would imagine that with a 10Mb limit on the entire site, it's not going to be a place to host sites with tons of images.