22406640264 has 192 divisors, whose sum is σ = 66067560000. Its totient is φ = 6836037120.

The previous prime is 22406640239. The next prime is 22406640299. The reversal of 22406640264 is 46204660422.

22406640264 is a `hidden beast` number, since 2 + 2 + 4 + 0 + 6 + 640 + 2 + 6 + 4 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7540299 + ... + 7543269.

It is an arithmetic number, because the mean of its divisors is an integer number (344101875).

Almost surely, 2^22406640264 is an apocalyptic number.

22406640264 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 22406640264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33033780000).

22406640264 is an abundant number, since it is smaller than the sum of its proper divisors (43660919736).

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

22406640264 is a wasteful number, since it uses less digits than its factorization.

22406640264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3188 (or 3181 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 36.

The spelling of 22406640264 in words is "twenty-two billion, four hundred six million, six hundred forty thousand, two hundred sixty-four".