879402645504 has 288 divisors, whose sum is σ = 2644139862000. Its totient is φ = 292000038912.

The previous prime is 879402645493. The next prime is 879402645523. The reversal of 879402645504 is 405546204978.

879402645504 is a `hidden beast` number, since 8 + 7 + 94 + 0 + 2 + 6 + 45 + 504 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 133868332 + ... + 133874900.

Almost surely, 2^879402645504 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 879402645504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1322069931000).

879402645504 is an abundant number, since it is smaller than the sum of its proper divisors (1764737216496).

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

879402645504 is an equidigital number, since it uses as much as digits as its factorization.

879402645504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6875 (or 6843 counting only the distinct ones).

The product of its (nonzero) digits is 9676800, while the sum is 54.

The spelling of 879402645504 in words is "eight hundred seventy-nine billion, four hundred two million, six hundred forty-five thousand, five hundred four".