20624984640 has 448 divisors, whose sum is σ = 79359678720. Its totient is φ = 5074679808.

The previous prime is 20624984587. The next prime is 20624984641. The reversal of 20624984640 is 4648942602.

20624984640 is a `hidden beast` number, since 20 + 62 + 498 + 46 + 40 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (20624984641) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 9096787 + ... + 9099053.

It is an arithmetic number, because the mean of its divisors is an integer number (177142140).

Almost surely, 2^20624984640 is an apocalyptic number.

20624984640 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 20624984640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39679839360).

20624984640 is an abundant number, since it is smaller than the sum of its proper divisors (58734694080).

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

20624984640 is an equidigital number, since it uses as much as digits as its factorization.

20624984640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2318 (or 2290 counting only the distinct ones).

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

The spelling of 20624984640 in words is "twenty billion, six hundred twenty-four million, nine hundred eighty-four thousand, six hundred forty".