22640446080 has 576 divisors, whose sum is σ = 94344475680. Its totient is φ = 5173217280.

The previous prime is 22640446067. The next prime is 22640446109. The reversal of 22640446080 is 8064404622.

It is a happy number.

22640446080 is a `hidden beast` number, since 2 + 2 + 6 + 4 + 0 + 44 + 608 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 71 ways as a sum of consecutive naturals, for example, 7618995 + ... + 7621965.

Almost surely, 2^22640446080 is an apocalyptic number.

22640446080 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 22640446080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47172237840).

22640446080 is an abundant number, since it is smaller than the sum of its proper divisors (71704029600).

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

22640446080 is an equidigital number, since it uses as much as digits as its factorization.

22640446080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3019 (or 2988 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

It can be divided in two parts, 226404 and 46080, that added together give a square (272484 = 522²).

The spelling of 22640446080 in words is "twenty-two billion, six hundred forty million, four hundred forty-six thousand, eighty".