22638442680 has 128 divisors (see below), whose sum is σ = 86241715200. Its totient is φ = 5174499456.

The previous prime is 22638442663. The next prime is 22638442681. The reversal of 22638442680 is 8624483622.

22638442680 is a `hidden beast` number, since 2 + 2 + 6 + 384 + 4 + 268 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22638442681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1489692 + ... + 1504811.

It is an arithmetic number, because the mean of its divisors is an integer number (673763400).

Almost surely, 2^22638442680 is an apocalyptic number.

22638442680 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22638442680 is an abundant number, since it is smaller than the sum of its proper divisors (63603272520).

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

22638442680 is a wasteful number, since it uses less digits than its factorization.

22638442680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2994530 (or 2994520 counting only the distinct ones).

The product of its (nonzero) digits is 884736, while the sum is 45.

The spelling of 22638442680 in words is "twenty-two billion, six hundred thirty-eight million, four hundred forty-two thousand, six hundred eighty".