10187640456 has 64 divisors (see below), whose sum is σ = 30819761280. Its totient is φ = 2739532800.

The previous prime is 10187640431. The next prime is 10187640499. The reversal of 10187640456 is 65404678101.

10187640456 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (42).

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 15 ways as a sum of consecutive naturals, for example, 1780695 + ... + 1786406.

It is an arithmetic number, because the mean of its divisors is an integer number (481558770).

Almost surely, 2^10187640456 is an apocalyptic number.

It is an amenable number.

10187640456 is an abundant number, since it is smaller than the sum of its proper divisors (20632120824).

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

10187640456 is a wasteful number, since it uses less digits than its factorization.

10187640456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3567134 (or 3567130 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 42.

The spelling of 10187640456 in words is "ten billion, one hundred eighty-seven million, six hundred forty thousand, four hundred fifty-six".