879329488896 has 624 divisors, whose sum is σ = 2730598940160. Its totient is φ = 282593525760.

The previous prime is 879329488889. The next prime is 879329488991. The reversal of 879329488896 is 698884923978.

879329488896 is a `hidden beast` number, since 87 + 93 + 294 + 8 + 88 + 96 = 666.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4167438231 + ... + 4167438441.

It is an arithmetic number, because the mean of its divisors is an integer number (4375959840).

Almost surely, 2^879329488896 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 879329488896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1365299470080).

879329488896 is an abundant number, since it is smaller than the sum of its proper divisors (1851269451264).

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

879329488896 is an equidigital number, since it uses as much as digits as its factorization.

879329488896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 382 (or 348 counting only the distinct ones).

The product of its digits is 3009871872, while the sum is 81.

The spelling of 879329488896 in words is "eight hundred seventy-nine billion, three hundred twenty-nine million, four hundred eighty-eight thousand, eight hundred ninety-six".