20624647680 has 800 divisors, whose sum is σ = 91001300544. Its totient is φ = 4347592704.

The previous prime is 20624647679. The next prime is 20624647697. The reversal of 20624647680 is 8674642602.

20624647680 is a `hidden beast` number, since 2 + 0 + 62 + 46 + 476 + 80 = 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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 18869214 + ... + 18870306.

Almost surely, 2^20624647680 is an apocalyptic number.

20624647680 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 20624647680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45500650272).

20624647680 is an abundant number, since it is smaller than the sum of its proper divisors (70376652864).

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

20624647680 is a wasteful number, since it uses less digits than its factorization.

20624647680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1148 (or 1123 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 45.

The spelling of 20624647680 in words is "twenty billion, six hundred twenty-four million, six hundred forty-seven thousand, six hundred eighty".