If you're in the mood for complete quiet and there's good weather, you could easily kill a week on Easter Island. Particularly if you like hiking, or want to laze on the beach. I spent the recommended three-day stopover there in January 2004, and certainly that wasn't long enough for me; but I love hiking, and IPC is a particularly cool place to do it (volcanic formations, lava tubes, moai scattered around, a beach or two, an airport runway to watch 767s flying in ...). You can also go diving if you're into that. Of course, if you want more 'cultural' action, then Easter Island will drive you mad within 48 hours. It's a sleepy place a long way from anywhere.