22056632640 has 672 divisors, whose sum is σ = 92316360960. Its totient is φ = 4941361152.

The previous prime is 22056632639. The next prime is 22056632651. The reversal of 22056632640 is 4623665022.

22056632640 is a `hidden beast` number, since 2 + 2 + 0 + 5 + 6 + 6 + 3 + 2 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

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 = 22056632595 and 22056632604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 22437589 + ... + 22438571.

Almost surely, 2^22056632640 is an apocalyptic number.

22056632640 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 22056632640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46158180480).

22056632640 is an abundant number, since it is smaller than the sum of its proper divisors (70259728320).

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

22056632640 is a wasteful number, since it uses less digits than its factorization.

22056632640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1076 (or 1053 counting only the distinct ones).

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

The spelling of 22056632640 in words is "twenty-two billion, fifty-six million, six hundred thirty-two thousand, six hundred forty".