20624292978624 has 896 divisors, whose sum is σ = 65527805952000. Its totient is φ = 6348865536000.

The previous prime is 20624292978539. The next prime is 20624292978637. The reversal of 20624292978624 is 42687929242602.

20624292978624 is a `hidden beast` number, since 2 + 0 + 6 + 242 + 9 + 297 + 86 + 24 = 666.

It is a super-2 number, since 2×20624292978624² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 34431206677 + ... + 34431207275.

It is an arithmetic number, because the mean of its divisors is an integer number (73133712000).

Almost surely, 2^{20624292978624} is an apocalyptic number.

20624292978624 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 20624292978624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32763902976000).

20624292978624 is an abundant number, since it is smaller than the sum of its proper divisors (44903512973376).

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

20624292978624 is a wasteful number, since it uses less digits than its factorization.

20624292978624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1010 (or 994 counting only the distinct ones).

The product of its (nonzero) digits is 83607552, while the sum is 63.

The spelling of 20624292978624 in words is "twenty trillion, six hundred twenty-four billion, two hundred ninety-two million, nine hundred seventy-eight thousand, six hundred twenty-four".