10624020680 has 128 divisors (see below), whose sum is σ = 29508192000. Its totient is φ = 3352292352.

The previous prime is 10624020679. The next prime is 10624020697. The reversal of 10624020680 is 8602042601.

10624020680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10624020680² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1266179 + ... + 1274541.

It is an arithmetic number, because the mean of its divisors is an integer number (230532750).

Almost surely, 2^10624020680 is an apocalyptic number.

10624020680 is a gapful number since it is divisible by the number (10) 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 10624020680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14754096000).

10624020680 is an abundant number, since it is smaller than the sum of its proper divisors (18884171320).

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

10624020680 is a wasteful number, since it uses less digits than its factorization.

10624020680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8743 (or 8739 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 29.

The spelling of 10624020680 in words is "ten billion, six hundred twenty-four million, twenty thousand, six hundred eighty".