21332600640 has 672 divisors, whose sum is σ = 83876083200. Its totient is φ = 5127929856.

The previous prime is 21332600623. The next prime is 21332600657. The reversal of 21332600640 is 4600623312.

21332600640 is a `hidden beast` number, since 2 + 13 + 3 + 2 + 6 + 0 + 0 + 640 = 666.

It is an interprime number because it is at equal distance from previous prime (21332600623) and next prime (21332600657).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 47511136 + ... + 47511584.

It is an arithmetic number, because the mean of its divisors is an integer number (124815600).

Almost surely, 2^21332600640 is an apocalyptic number.

21332600640 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 21332600640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41938041600).

21332600640 is an abundant number, since it is smaller than the sum of its proper divisors (62543482560).

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

21332600640 is a wasteful number, since it uses less digits than its factorization.

21332600640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 541 (or 519 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The spelling of 21332600640 in words is "twenty-one billion, three hundred thirty-two million, six hundred thousand, six hundred forty".