22657472640 has 1152 divisors, whose sum is σ = 95233320000. Its totient is φ = 4939038720.

The previous prime is 22657472639. The next prime is 22657472647. The reversal of 22657472640 is 4627475622.

It is a happy number.

22657472640 is a `hidden beast` number, since 2 + 2 + 6 + 574 + 72 + 6 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-2 number, since 2×22657472640² (a number of 22 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (22657472647) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 384024931 + ... + 384024989.

Almost surely, 2^22657472640 is an apocalyptic number.

22657472640 is a gapful number since it is divisible by the number (20) 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 22657472640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47616660000).

22657472640 is an abundant number, since it is smaller than the sum of its proper divisors (72575847360).

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

22657472640 is a wasteful number, since it uses less digits than its factorization.

22657472640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 1128960, while the sum is 45.

The spelling of 22657472640 in words is "twenty-two billion, six hundred fifty-seven million, four hundred seventy-two thousand, six hundred forty".