8297976960 has 640 divisors, whose sum is σ = 36492825600. Its totient is φ = 1749786624.

The previous prime is 8297976923. The next prime is 8297976977. The reversal of 8297976960 is 696797928.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 4716561 + ... + 4718319.

It is an arithmetic number, because the mean of its divisors is an integer number (57020040).

Almost surely, 2^8297976960 is an apocalyptic number.

8297976960 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 8297976960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18246412800).

8297976960 is an abundant number, since it is smaller than the sum of its proper divisors (28194848640).

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

8297976960 is a wasteful number, since it uses less digits than its factorization.

8297976960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1810 (or 1789 counting only the distinct ones).

The product of its (nonzero) digits is 20575296, while the sum is 63.

The square root of 8297976960 is about 91093.2322403811. The cubic root of 8297976960 is about 2024.5293391748.

The spelling of 8297976960 in words is "eight billion, two hundred ninety-seven million, nine hundred seventy-six thousand, nine hundred sixty".