879534590940 has 480 divisors, whose sum is σ = 2969384140800. Its totient is φ = 217275125760.

The previous prime is 879534590939. The next prime is 879534590951. The reversal of 879534590940 is 49095435978.

879534590940 is a `hidden beast` number, since 8 + 7 + 9 + 5 + 34 + 590 + 9 + 4 + 0 = 666.

879534590940 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 277541676 + ... + 277544844.

It is an arithmetic number, because the mean of its divisors is an integer number (6186216960).

Almost surely, 2^879534590940 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 879534590940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1484692070400).

879534590940 is an abundant number, since it is smaller than the sum of its proper divisors (2089849549860).

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

879534590940 is a wasteful number, since it uses less digits than its factorization.

879534590940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3407 (or 3396 counting only the distinct ones).

The product of its (nonzero) digits is 48988800, while the sum is 63.

The spelling of 879534590940 in words is "eight hundred seventy-nine billion, five hundred thirty-four million, five hundred ninety thousand, nine hundred forty".