First, I wouldn't claim the winning ticket right away. (Media would be ALL OVER to cover the story and calls from relatives and lawyers)

Then, I would go to South America and chill for awhile to plan and look for a place to retire, in the states.
I would also research investments and find safer, smarter places to put the money for a better return.
In addition, I would make plans for donations to my favorite charities.

Finally, I would wait for the last day to claim the prize and execute the plan.

I love dreaming. ;)