15642402400 has 72 divisors (see below), whose sum is σ = 39075170904. Its totient is φ = 6111436800.

The previous prime is 15642402397. The next prime is 15642402401. The reversal of 15642402400 is 420424651.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (15642402401) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 192961 + ... + 261760.

It is an arithmetic number, because the mean of its divisors is an integer number (542710707).

Almost surely, 2^15642402400 is an apocalyptic number.

15642402400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

15642402400 is an abundant number, since it is smaller than the sum of its proper divisors (23432768504).

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

15642402400 is a wasteful number, since it uses less digits than its factorization.

15642402400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 454784 (or 454771 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 28.

The spelling of 15642402400 in words is "fifteen billion, six hundred forty-two million, four hundred two thousand, four hundred".