As
Techcrunch tells us, for about 12 hours, services from MS - Office 365 and Hotmail are partially inaccessible.
On the site
status check you can see the following picture:
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Microsoft even confirmed the failure and promised to fix it in the near future.
The outlook.com site is not available:

It was also reported that SkyDrive does not work (but it seems to have been fixed).
In Russia, office365 mail is available (at least for me).
UPD. At 18-39 UTC + 4 repaired:

