22632000056640 has 224 divisors, whose sum is σ = 85982257052160. Its totient is φ = 5570953832448.

The previous prime is 22632000056597. The next prime is 22632000056657. The reversal of 22632000056640 is 4665000023622.

22632000056640 is a `hidden beast` number, since 2 + 2 + 6 + 3 + 2 + 0 + 0 + 0 + 0 + 5 + 6 + 640 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 22632000056595 and 22632000056604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 100635544 + ... + 100860183.

It is an arithmetic number, because the mean of its divisors is an integer number (383849361840).

Almost surely, 2^{22632000056640} is an apocalyptic number.

22632000056640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22632000056640 is an abundant number, since it is smaller than the sum of its proper divisors (63350256995520).

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

22632000056640 is a wasteful number, since it uses less digits than its factorization.

22632000056640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 201495766 (or 201495750 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

The spelling of 22632000056640 in words is "twenty-two trillion, six hundred thirty-two billion, fifty-six thousand, six hundred forty".