Given that $n > 1$, what is the smallest positive integer $n$ whose positive divisors have a product of $n^6$?
<|im_start|>system
You are a helpful assistant.<|im_end|>
<|im_start|>user
Given that $n > 1$, what is the smallest positive integer $n$ whose positive divisors have a product of $n^6$?
Please reason step by step, and put your final answer within \boxed{{}}.<|im_end|>
<|im_start|>assistant

user
60
Given that $n > 1$, what is the smallest positive integer $n$ whose positive divisors have a product of $n^6$?
train