21360606624 has 576 divisors, whose sum is σ = 76422528000. Its totient is φ = 5521342464.

The previous prime is 21360606613. The next prime is 21360606649. The reversal of 21360606624 is 42660606312.

21360606624 is a `hidden beast` number, since 21 + 3 + 6 + 0 + 6 + 0 + 6 + 624 = 666.

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

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, 143359702 + ... + 143359850.

It is an arithmetic number, because the mean of its divisors is an integer number (132678000).

Almost surely, 2^21360606624 is an apocalyptic number.

21360606624 is a gapful number since it is divisible by the number (24) 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 21360606624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38211264000).

21360606624 is an abundant number, since it is smaller than the sum of its proper divisors (55061921376).

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

21360606624 is a wasteful number, since it uses less digits than its factorization.

21360606624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 325 (or 314 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The spelling of 21360606624 in words is "twenty-one billion, three hundred sixty million, six hundred six thousand, six hundred twenty-four".