21756625632 has 216 divisors, whose sum is σ = 72098345592. Its totient is φ = 6205248000.

The previous prime is 21756625609. The next prime is 21756625661. The reversal of 21756625632 is 23652665712.

21756625632 is a `hidden beast` number, since 2 + 1 + 7 + 5 + 6 + 6 + 2 + 5 + 632 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 11443882 + ... + 11445782.

It is an arithmetic number, because the mean of its divisors is an integer number (333788637).

Almost surely, 2^21756625632 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21756625632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36049172796).

21756625632 is an abundant number, since it is smaller than the sum of its proper divisors (50341719960).

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

21756625632 is a wasteful number, since it uses less digits than its factorization.

21756625632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2742 (or 2724 counting only the distinct ones).

The product of its digits is 907200, while the sum is 45.

The spelling of 21756625632 in words is "twenty-one billion, seven hundred fifty-six million, six hundred twenty-five thousand, six hundred thirty-two".