9716636160 has 480 divisors, whose sum is σ = 41962707072. Its totient is φ = 2018672640.

The previous prime is 9716636147. The next prime is 9716636177. The reversal of 9716636160 is 616366179.

9716636160 is a `hidden beast` number, since 9 + 7 + 1 + 6 + 636 + 1 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1771342 + ... + 1776818.

Almost surely, 2^9716636160 is an apocalyptic number.

9716636160 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 9716636160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20981353536).

9716636160 is an abundant number, since it is smaller than the sum of its proper divisors (32246070912).

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

9716636160 is a wasteful number, since it uses less digits than its factorization.

9716636160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5524 (or 5505 counting only the distinct ones).

The product of its (nonzero) digits is 244944, while the sum is 45.

The square root of 9716636160 is about 98572.9991427673. Note that the first 3 decimals coincide. The cubic root of 9716636160 is about 2133.8897645772.

The spelling of 9716636160 in words is "nine billion, seven hundred sixteen million, six hundred thirty-six thousand, one hundred sixty".