8791638960 has 320 divisors, whose sum is σ = 31622976000. Its totient is φ = 2001936384.

The previous prime is 8791638943. The next prime is 8791639001. The reversal of 8791638960 is 698361978.

It is a Smith number, since the sum of its digits (57) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a self number, because there is not a number n which added to its sum of digits gives 8791638960.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2547316 + ... + 2550764.

It is an arithmetic number, because the mean of its divisors is an integer number (98821800).

Almost surely, 2^8791638960 is an apocalyptic number.

8791638960 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 8791638960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15811488000).

8791638960 is an abundant number, since it is smaller than the sum of its proper divisors (22831337040).

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

8791638960 is a wasteful number, since it uses less digits than its factorization.

8791638960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3540 (or 3534 counting only the distinct ones).

The product of its (nonzero) digits is 3919104, while the sum is 57.

The square root of 8791638960 is about 93763.7401131162. The cubic root of 8791638960 is about 2063.9061649847.

The spelling of 8791638960 in words is "eight billion, seven hundred ninety-one million, six hundred thirty-eight thousand, nine hundred sixty".