It depends on the configuration, but here are some specs:
- Console: 390 lb
- MCU Disk units: 480 lb
- MCU Card reader: 1020 lb
- Central computer: 8800 lb
etc...
NOTE: the documents below are for the Cyber-76, which was the new branding of the 7600. The 6600 became a Cyber-74, and the 6400 became the Cyber-73.
As far as I know, this was a rebranding effort and the new series, after these models, had a '1' at the beginning, so they moved to Cyber-170, 180 and 200; the new series used ICs instead of discrete transistors.
There are a lot of parts, even a dew point recorder!
The machine came with a whole manual about how to set up the room that will take it. It covers space, power, temperature, humidity, cooling, etc.

I put the whole installation manual on my google drive. It's quite large (about 145mb of scans).
https://drive.google.com/open?id=1jI2XJzr4ROOtWDPIRJ4vK0JtUkjV5xWb