872536002624 has 504 divisors, whose sum is σ = 2967365612120. Its totient is φ = 243497041920.

The previous prime is 872536002619. The next prime is 872536002659. The reversal of 872536002624 is 426200635278.

872536002624 is a `hidden beast` number, since 8 + 7 + 25 + 360 + 0 + 262 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 250280078400 + 622255924224 = 500280^2 + 788832^2 .

It is a super-2 number, since 2×872536002624² (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 872536002624.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 522788862 + ... + 522790530.

Almost surely, 2^872536002624 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 872536002624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1483682806060).

872536002624 is an abundant number, since it is smaller than the sum of its proper divisors (2094829609496).

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

872536002624 is a wasteful number, since it uses less digits than its factorization.

872536002624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2299 (or 2275 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

The spelling of 872536002624 in words is "eight hundred seventy-two billion, five hundred thirty-six million, two thousand, six hundred twenty-four".