21624744960 has 1056 divisors, whose sum is σ = 96136814592. Its totient is φ = 4538695680.

The previous prime is 21624744941. The next prime is 21624745001. The reversal of 21624744960 is 6944742612.

21624744960 is a `hidden beast` number, since 2 + 162 + 47 + 449 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 113218465 + ... + 113218655.

Almost surely, 2^21624744960 is an apocalyptic number.

21624744960 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 21624744960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48068407296).

21624744960 is an abundant number, since it is smaller than the sum of its proper divisors (74512069632).

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

21624744960 is a wasteful number, since it uses less digits than its factorization.

21624744960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 251 (or 221 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 21624744960 in words is "twenty-one billion, six hundred twenty-four million, seven hundred forty-four thousand, nine hundred sixty".