9688537152000 has 3840 divisors, whose sum is σ = 44812310400000. Its totient is φ = 2002865356800.

The previous prime is 9688537151987. The next prime is 9688537152067. The reversal of 9688537152000 is 2517358869.

9688537152000 is a `hidden beast` number, since 9 + 6 + 8 + 85 + 37 + 1 + 520 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3840).

It is a super-2 number, since 2×9688537152000² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 108859967956 + ... + 108859968044.

It is an arithmetic number, because the mean of its divisors is an integer number (11669872500).

Almost surely, 2^{9688537152000} is an apocalyptic number.

9688537152000 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9688537152000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22406155200000).

9688537152000 is an abundant number, since it is smaller than the sum of its proper divisors (35123773248000).

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

9688537152000 is a wasteful number, since it uses less digits than its factorization.

9688537152000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 197 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 3628800, while the sum is 54.

The spelling of 9688537152000 in words is "nine trillion, six hundred eighty-eight billion, five hundred thirty-seven million, one hundred fifty-two thousand".