879455418373428 has 768 divisors, whose sum is σ = 2493686153871360. Its totient is φ = 238805115494400.

The previous prime is 879455418373387. The next prime is 879455418373529. The reversal of 879455418373428 is 824373814554978.

It is a Harshad number since it is a multiple of its sum of digits (78).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 45028684023 + ... + 45028703553.

It is an arithmetic number, because the mean of its divisors is an integer number (3246987179520).

Almost surely, 2^{879455418373428} 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 879455418373428, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1246843076935680).

879455418373428 is an abundant number, since it is smaller than the sum of its proper divisors (1614230735497932).

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

879455418373428 is a wasteful number, since it uses less digits than its factorization.

879455418373428 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19848 (or 19846 counting only the distinct ones).

The product of its digits is 6502809600, while the sum is 78.

The spelling of 879455418373428 in words is "eight hundred seventy-nine trillion, four hundred fifty-five billion, four hundred eighteen million, three hundred seventy-three thousand, four hundred twenty-eight".