879517040640 has 1224 divisors, whose sum is σ = 3560999842080. Its totient is φ = 184308203520.

The previous prime is 879517040593. The next prime is 879517040669. The reversal of 879517040640 is 46040715978.

It is a super-2 number, since 2×879517040640² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 28371517425 + ... + 28371517455.

Almost surely, 2^879517040640 is an apocalyptic number.

879517040640 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 879517040640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1780499921040).

879517040640 is an abundant number, since it is smaller than the sum of its proper divisors (2681482801440).

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

879517040640 is an equidigital number, since it uses as much as digits as its factorization.

879517040640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135 (or 67 counting only the distinct ones).

The product of its (nonzero) digits is 1693440, while the sum is 51.

The spelling of 879517040640 in words is "eight hundred seventy-nine billion, five hundred seventeen million, forty thousand, six hundred forty".