If you send me a meeting invite that hits at 6:30 AM my time, despite having my location in every .sig of every previous email I've sent you, one of two things will happen:
1) if you're in India, I may have pity on you because that's a hard offset to cover;
2) if you're in North America, I will decline because COME ON NOW, show some consideration ಠ_ಠ
6:30 am? *LUXURY*. I get 5am invites regularly.
The fun ones are the emails that arrive at 2am my time for a 6am meeting. Come on guys, the fact that I am a *machine* (flexes in a manly fashion) doesn't mean I never sleep - that's just a rumor!
Can't decline when you're asleep. Checkmate!
I usually reply with a lengthy explanation that I would have attended had they given sufficient notice, but I don't check my mail in my sleep.
If I'm feeling SAUCY I'll wait until 2am their time to send it. They won't notice, but it amuses me.