18768911400 has 72 divisors (see below), whose sum is σ = 63032266830. Its totient is φ = 5005042560.

The previous prime is 18768911351. The next prime is 18768911443. The reversal of 18768911400 is 411986781.

It is a happy number.

18768911400 is a `hidden beast` number, since 187 + 68 + 9 + 1 + 1 + 400 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 12324996324 + 6443915076 = 111018^2 + 80274^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 5211787 + ... + 5215386.

Almost surely, 2^18768911400 is an apocalyptic number.

18768911400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

18768911400 is an abundant number, since it is smaller than the sum of its proper divisors (44263355430).

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

18768911400 is a wasteful number, since it uses less digits than its factorization.

18768911400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10427195 (or 10427183 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 45.

The spelling of 18768911400 in words is "eighteen billion, seven hundred sixty-eight million, nine hundred eleven thousand, four hundred".