I didn't think Apache could be run on a C=64... but according to this, it can:
Netcraft Ebuyer Report
Ebuyer's site runs on a C64?
It's a joke. Webservers can be configured to report back whatever host/OS they want and the lads at Ebuyer are having a little fun. With that being said, it is possible to run a webserver on a 64. You can click here for an example.
Call me Golan; my parents did.