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You'll do with a fairly basic, modern laptop. No extra power or special features are needed.
Any, say, i5 CPU laptop is ok. The HDD, if there's not an SSD drive, should be 7200 rpm, though.
The more important purchase would be a decent audio interface. Something like Roland Quad Capture or similar is fine, if you don't need to record several tracks simultaneously. An additional external HDD is very practical to have for audio and samples. Otherwise your HDD is full in no time. Don't pick any "green" model, as they have energy saving features that can disturb tracking. Of course, it is very recommendable to have a second external HDD for backups, unless you want to back up on DVDs or flash sticks. Having a proper backup policy is important.
Any modern laptop runs easily at least 50 audio tracks and more, if there's no CPU hog plugin effects in use.
I believe all laptops nowadays come with a 64 bit operating system, which can utilize a lot of RAM, so the more RAM comes with the machine, the better. 8 gigas of RAM is a very decent amount already.