22626682560 has 672 divisors, whose sum is σ = 84648275712. Its totient is φ = 5748019200.

The previous prime is 22626682553. The next prime is 22626682591. The reversal of 22626682560 is 6528662622.

22626682560 is a `hidden beast` number, since 2 + 2 + 6 + 2 + 6 + 6 + 82 + 560 = 666.

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

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, 224026510 + ... + 224026610.

It is an arithmetic number, because the mean of its divisors is an integer number (125964696).

Almost surely, 2^22626682560 is an apocalyptic number.

22626682560 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 22626682560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42324137856).

22626682560 is an abundant number, since it is smaller than the sum of its proper divisors (62021593152).

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

22626682560 is a wasteful number, since it uses less digits than its factorization.

22626682560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 243 (or 221 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The spelling of 22626682560 in words is "twenty-two billion, six hundred twenty-six million, six hundred eighty-two thousand, five hundred sixty".