8632917516960 has 864 divisors, whose sum is σ = 34355819796480. Its totient is φ = 1966972170240.

The previous prime is 8632917516959. The next prime is 8632917517001. The reversal of 8632917516960 is 696157192368.

8632917516960 is a `hidden beast` number, since 8 + 6 + 3 + 29 + 1 + 7 + 516 + 96 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 420430854 + ... + 420451386.

It is an arithmetic number, because the mean of its divisors is an integer number (39763680320).

Almost surely, 2^{8632917516960} is an apocalyptic number.

8632917516960 is a gapful number since it is divisible by the number (80) 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 8632917516960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17177909898240).

8632917516960 is an abundant number, since it is smaller than the sum of its proper divisors (25722902279520).

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

8632917516960 is a wasteful number, since it uses less digits than its factorization.

8632917516960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20722 (or 20700 counting only the distinct ones).

The product of its (nonzero) digits is 29393280, while the sum is 63.

The spelling of 8632917516960 in words is "eight trillion, six hundred thirty-two billion, nine hundred seventeen million, five hundred sixteen thousand, nine hundred sixty".