Ok PG's response seems almost like flamebait. I had to respond and try to voice my disagreement.
I think the test of the importance of your work is not how much people will be hurt if you screw up, but how much people's lives are improved if you succeed.
I notice you leave out the Manhattan Project. Through which nuclear power was discovered. And later those same researchers discovered Quantum Electrodynamics... which will likely be the next hardware solution for computer science.
Judged by the standard of how much it contributes to people's well-being, Google probably does more for the world than the Apollo missions did.
As for Apollo versus Google - come on. Search (PageRank) & improved web mail (GMail) versus safe commercial air travel, radio and satellite communication, safe structures, better roads, GPS, etc. Maybe there weren't advancements to Computer Science. But, there were major advancements in civil, construction, electrical and mechanical engineering.
The program spurred advances in many areas of technology peripheral to rocketry and manned spaceflight. These include major contributions in the fields of avionics, telecommunications, and computers. The program sparked interest in many fields of engineering, including pioneering work using statistical methods to study the reliability of complex systems made from component parts. The physical facilities and machines which were necessary components of the manned spaceflight program remain as landmarks of civil, mechanical, and electrical engineering.
from http://en.wikipedia.org/wiki/Apollo_program
Separately the Apollo program had a cultural impact on the students and engineers of the time and even today. I know I am inspired by what the program did with such limited technology.
[EDIT: Some details and another quote]