9659629056000 has 3328 divisors, whose sum is σ = 43242088660992. Its totient is φ = 1855586304000.

The previous prime is 9659629055981. The next prime is 9659629056031. The reversal of 9659629056000 is 6509269569.

It is a super-2 number, since 2×9659629056000² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 144173567967 + ... + 144173568033.

It is an arithmetic number, because the mean of its divisors is an integer number (12993416064).

Almost surely, 2^{9659629056000} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9659629056000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21621044330496).

9659629056000 is an abundant number, since it is smaller than the sum of its proper divisors (33582459604992).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

9659629056000 is a wasteful number, since it uses less digits than its factorization.

9659629056000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 203 (or 171 counting only the distinct ones).

The product of its (nonzero) digits is 7873200, while the sum is 57.

The spelling of 9659629056000 in words is "nine trillion, six hundred fifty-nine billion, six hundred twenty-nine million, fifty-six thousand".