My iPod Classic is broken will apple replace it?

The standard warranty for a manufacturing defect causing a problem or failure is ONE year. If you purchased AppleCare for the iPod, that warranty is extended to TWO years. There was no "64GB" iPod classic (iPod that has a hard drive and click wheel). The closest to that is 80GB, and that would be from 2009 or earlier.

The current iPod classic is 160GB and costs $249.

http://store.apple.com/us/browse/home/shop_ipod/family/ipod_classic

It may appear as an Apple Certified Reburb for less, on this page (there is none currently)

http://store.apple.com/us/browse/home/specialdeals/ipod

Make sure you have done the usual troubleshooting on that iPod, such as the "Five R's."

http://www.apple.com/support/ipod/five_rs/

No, probably not, because that older iPod is no longer under warranty, even if you purchase AppleCare for it.

There is a general Apple Recyclcing Program that applies to all iPods.

http://www.apple.com/recycling/