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In person you bring up the party, and she offers you her number so you can give her the full info.
But then you have to be planning a party... Completely non-sensible. Just give her your phone and say 'you should give me your phone number' or 'you know what, give me your number' or anything along those lines.
Number closing is easy and should be treated as such. If you believe a number is a big deal "Would you like, maybe give me your number so maybe we can go get drinks or something?" and exude nervous tonality and body language, then you are shooting yourself in the foot. Be confident and dominant; obtaining a number will be very achievable with even minimal rapport established. Getting a number should never be the goal, only the consolation prize if closing her that night is no longer an option.