22632507504 has 120 divisors (see below), whose sum is σ = 65138405280. Its totient is φ = 7330466304.

The previous prime is 22632507487. The next prime is 22632507509. The reversal of 22632507504 is 40570523622.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22632507509) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4723542 + ... + 4728330.

It is an arithmetic number, because the mean of its divisors is an integer number (542820044).

Almost surely, 2^22632507504 is an apocalyptic number.

22632507504 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 22632507504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32569202640).

22632507504 is an abundant number, since it is smaller than the sum of its proper divisors (42505897776).

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

22632507504 is a wasteful number, since it uses less digits than its factorization.

22632507504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5727 (or 5718 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 36.

The spelling of 22632507504 in words is "twenty-two billion, six hundred thirty-two million, five hundred seven thousand, five hundred four".