22730576400 has 1200 divisors, whose sum is σ = 99663049728. Its totient is φ = 4852224000.

The previous prime is 22730576381. The next prime is 22730576437. The reversal of 22730576400 is 467503722.

It is a happy number.

22730576400 is a `hidden beast` number, since 2 + 2 + 7 + 3 + 0 + 5 + 7 + 640 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1200).

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 372632370 + ... + 372632430.

Almost surely, 2^22730576400 is an apocalyptic number.

22730576400 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 22730576400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49831524864).

22730576400 is an abundant number, since it is smaller than the sum of its proper divisors (76932473328).

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

22730576400 is a wasteful number, since it uses less digits than its factorization.

22730576400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182 (or 162 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 36.

The spelling of 22730576400 in words is "twenty-two billion, seven hundred thirty million, five hundred seventy-six thousand, four hundred".