I've been trying to login to my Hotmail account for 5 hours, with no success.

Each time, the browser makes several attempts to redirect to

https://login.live.com/login.srf?lc=1033&sf=1&id=64855&tw=18000&fs=0&ts=-1&sec=&mspp_shared=1&seclog=0&wa=wsignin1.0&wp=MBI&ru=http://mail.live.com/default.aspx

and
https://account.live.com/Logincredprof.aspx?mkt=EN%2DUS&slt=B9aJPlNnpI3EjoXW9jo747DQAYdqv1TghPysFc%2AhNnTle2JlEZXD5WPKy2WUsYlRgBEGLeITbMoFc7gKLR6yjIVjXWs2WkTKvYsTvJWdg5zr8uIx0CFbSpFpwxKxywFXPIbSxPrhZWSE9aXUEtv7wu79fGGThrvBhRUAwgsszXHELIV%2AIF4OGISK3lKNmvGz%2AgX4jBOKvrbOfhZdc5BLcq3S4xWr&ru=https%3A%2F%2Flogin%2Elive%2Ecom%2Flogin%2Esrf%3Flc%3D1033%26sf%3D1%26id%3D64855%26tw%3D18000%26fs%3D0%26ts%3D%2D1%26sec%3D%26mspp%5Fshared%3D1%26seclog%3D0%26wa%3Dwsignin1%2E0%26wp%3DMBI%26ru%3Dhttp%3A%2F%2Fmail%2Elive%2Ecom%2Fdefault%2Easpx&if=80000000&vv=700&lc=1033&id=64855

Then I get the error message:

The Windows Live Network is unavailable from this site for one of the following reasons:
This site may be experiencing a problem
The site may not be a member of the Windows Live Network

I have tried on a Mac using Safari and Firefox, and on a PC using IE. The same problem occurs on all machines.

But my wife can login successfully to her Hotmail account on all of the same machines.

Has my account been hacked or corrupted?

You have to contact our Windows Live Technical Support Team for this. They're the experts in the field of your inquiry that's why you have to get in touch with them. To do this, visit:

1. Go to http://help.live.com/help.aspx?project=liveidv1&market=en-us
2. Select one of the help topics displayed on the left panel. 
3. Click Get more help at the lower-right corner of the window then click Get support. 
4. Complete the e-form and then click Submit.

For more information, visit:

http://windowslivehelp.com/solutions/newvisitor/archive/2009/02/04/how-to-get-support-for-your-non-hotmail-products.aspx

Note: I've moved your post to the Non Hotmail Questions forum because this is the appropriate one for it.