22640768000 has 176 divisors, whose sum is σ = 57224294400. Its totient is φ = 8937676800.

The previous prime is 22640767999. The next prime is 22640768021. The reversal of 22640768000 is 86704622.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10110881 + ... + 10113119.

Almost surely, 2^22640768000 is an apocalyptic number.

22640768000 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 22640768000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28612147200).

22640768000 is an abundant number, since it is smaller than the sum of its proper divisors (34583526400).

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

22640768000 is an equidigital number, since it uses as much as digits as its factorization.

22640768000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2353 (or 2325 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 35.

The spelling of 22640768000 in words is "twenty-two billion, six hundred forty million, seven hundred sixty-eight thousand".