23257647504 has 480 divisors, whose sum is σ = 87507613440. Its totient is φ = 5770911744.

The previous prime is 23257647499. The next prime is 23257647551. The reversal of 23257647504 is 40574675232.

23257647504 is a `hidden beast` number, since 2 + 3 + 2 + 576 + 4 + 75 + 0 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 23257647504.

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, 8686614 + ... + 8689290.

It is an arithmetic number, because the mean of its divisors is an integer number (182307528).

Almost surely, 2^23257647504 is an apocalyptic number.

23257647504 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23257647504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43753806720).

23257647504 is an abundant number, since it is smaller than the sum of its proper divisors (64249965936).

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

23257647504 is a wasteful number, since it uses less digits than its factorization.

23257647504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2744 (or 2719 counting only the distinct ones).

The product of its (nonzero) digits is 1411200, while the sum is 45.

It can be divided in two parts, 23257 and 647504, that added together give a square (670761 = 819²).

The spelling of 23257647504 in words is "twenty-three billion, two hundred fifty-seven million, six hundred forty-seven thousand, five hundred four".