879331561844736 has 3328 divisors, whose sum is σ = 3491784769536000. Its totient is φ = 193211478835200.

The previous prime is 879331561844689. The next prime is 879331561844761. The reversal of 879331561844736 is 637448165133978.

It is a tau number, because it is divible by the number of its divisors (3328).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 354998610730 + ... + 354998613206.

Almost surely, 2^{879331561844736} 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 879331561844736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1745892384768000).

879331561844736 is an abundant number, since it is smaller than the sum of its proper divisors (2612453207691264).

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

879331561844736 is a wasteful number, since it uses less digits than its factorization.

879331561844736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2599 (or 2563 counting only the distinct ones).

The product of its digits is 2194698240, while the sum is 75.

The spelling of 879331561844736 in words is "eight hundred seventy-nine trillion, three hundred thirty-one billion, five hundred sixty-one million, eight hundred forty-four thousand, seven hundred thirty-six".