879317544960 has 624 divisors, whose sum is σ = 3191781072480. Its totient is φ = 232190115840.

The previous prime is 879317544899. The next prime is 879317544979. The reversal of 879317544960 is 69445713978.

879317544960 is a `hidden beast` number, since 8 + 7 + 93 + 1 + 7 + 54 + 496 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 542452950 + ... + 542454570.

It is an arithmetic number, because the mean of its divisors is an integer number (5115033770).

Almost surely, 2^879317544960 is an apocalyptic number.

879317544960 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 879317544960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1595890536240).

879317544960 is an abundant number, since it is smaller than the sum of its proper divisors (2312463527520).

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

879317544960 is a wasteful number, since it uses less digits than its factorization.

879317544960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1774 (or 1740 counting only the distinct ones).

The product of its (nonzero) digits is 45722880, while the sum is 63.

The spelling of 879317544960 in words is "eight hundred seventy-nine billion, three hundred seventeen million, five hundred forty-four thousand, nine hundred sixty".