10014625640 has 128 divisors (see below), whose sum is σ = 24684134400. Its totient is φ = 3642589440.

The previous prime is 10014625639. The next prime is 10014625667. The reversal of 10014625640 is 4652641001.

10014625640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 2990447 + ... + 2993793.

It is an arithmetic number, because the mean of its divisors is an integer number (192844800).

Almost surely, 2^10014625640 is an apocalyptic number.

10014625640 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 10014625640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12342067200).

10014625640 is an abundant number, since it is smaller than the sum of its proper divisors (14669508760).

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

10014625640 is a wasteful number, since it uses less digits than its factorization.

10014625640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3535 (or 3531 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 29.

The spelling of 10014625640 in words is "ten billion, fourteen million, six hundred twenty-five thousand, six hundred forty".