How can I install itunes 10.7 on my laptop windows 7 64bit?

Most of the cases require:

1. Run the iTunes installer as Administrator

(right click on the installer and choose Run as Administrator

2. when it is installed go to iTunes icon and also Run As Administrator

if yiou want to make it permament right click on itunes and go to Properties. In compatibility tab you can tick always Run As Administrator

remove the previous iTunes installation from Control Panel / Programs
and start again.

if installer says iTunes is installed on your computer and it does not show up in Control Panel / Programs

you have a system problem and you need to contact Microsoft forum to troubleshoot it.

I understand what you are saying.

iTunes are installed on your computer either in full or partially - whether you like it or not.

Have you restarted the computer after all those unsuccessful installs?

You need to remove whatever you have iTunes related on your computer before attempting to install it again.

as much as i'd like to help you - there is no many options left.

This is a case for Windows System troubleshooting forum.

yes, it can.

good luck