874956820608 has 768 divisors, whose sum is σ = 2966628188160. Its totient is φ = 245285314560.

The previous prime is 874956820589. The next prime is 874956820663. The reversal of 874956820608 is 806028659478.

874956820608 is a `hidden beast` number, since 8 + 7 + 4 + 9 + 568 + 2 + 0 + 60 + 8 = 666.

874956820608 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 715417885 + ... + 715419107.

It is an arithmetic number, because the mean of its divisors is an integer number (3862797120).

Almost surely, 2^874956820608 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 874956820608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1483314094080).

874956820608 is an abundant number, since it is smaller than the sum of its proper divisors (2091671367552).

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

874956820608 is a wasteful number, since it uses less digits than its factorization.

874956820608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1377 (or 1362 counting only the distinct ones).

The product of its (nonzero) digits is 46448640, while the sum is 63.

The spelling of 874956820608 in words is "eight hundred seventy-four billion, nine hundred fifty-six million, eight hundred twenty thousand, six hundred eight".