21624368832 has 252 divisors, whose sum is σ = 72140920488. Its totient is φ = 6167040000.

The previous prime is 21624368813. The next prime is 21624368833. The reversal of 21624368832 is 23886342612.

It is a super-2 number, since 2×21624368832² (a number of 21 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (21624368833) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1175707 + ... + 1193957.

It is an arithmetic number, because the mean of its divisors is an integer number (286273494).

Almost surely, 2^21624368832 is an apocalyptic number.

21624368832 is a gapful number since it is divisible by the number (22) 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 21624368832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36070460244).

21624368832 is an abundant number, since it is smaller than the sum of its proper divisors (50516551656).

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

21624368832 is a wasteful number, since it uses less digits than its factorization.

21624368832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18308 (or 18284 counting only the distinct ones).

The product of its digits is 663552, while the sum is 45.

The spelling of 21624368832 in words is "twenty-one billion, six hundred twenty-four million, three hundred sixty-eight thousand, eight hundred thirty-two".