879465033216 has 1920 divisors, whose sum is σ = 3591136581120. Its totient is φ = 209328537600.

The previous prime is 879465033203. The next prime is 879465033217. The reversal of 879465033216 is 612330564978.

879465033216 is a `hidden beast` number, since 8 + 7 + 94 + 6 + 503 + 32 + 16 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (879465033217) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 6713473471 + ... + 6713473601.

It is an arithmetic number, because the mean of its divisors is an integer number (1870383636).

It is a 2-persistent number, because it is pandigital, and so is 2⋅879465033216 = 1758930066432, but 3⋅879465033216 = 2638395099648 is not.

Almost surely, 2^879465033216 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 879465033216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1795568290560).

879465033216 is an abundant number, since it is smaller than the sum of its proper divisors (2711671547904).

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

879465033216 is a wasteful number, since it uses less digits than its factorization.

879465033216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 253 (or 224 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 54.

The spelling of 879465033216 in words is "eight hundred seventy-nine billion, four hundred sixty-five million, thirty-three thousand, two hundred sixteen".