9716009600 has 288 divisors, whose sum is σ = 27554173920. Its totient is φ = 3376384000.

The previous prime is 9716009599. The next prime is 9716009617. The reversal of 9716009600 is 69006179.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 8905055 + ... + 8906145.

It is an arithmetic number, because the mean of its divisors is an integer number (95674215).

Almost surely, 2^9716009600 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 9716009600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13777086960).

9716009600 is an abundant number, since it is smaller than the sum of its proper divisors (17838164320).

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

9716009600 is a wasteful number, since it uses less digits than its factorization.

9716009600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1160 (or 1132 counting only the distinct ones).

The product of its (nonzero) digits is 20412, while the sum is 38.

The square root of 9716009600 is about 98569.8209392713. The cubic root of 9716009600 is about 2133.8438968960.

The spelling of 9716009600 in words is "nine billion, seven hundred sixteen million, nine thousand, six hundred".