13764001400 has 24 divisors (see below), whose sum is σ = 32001303720. Its totient is φ = 5505600480.

The previous prime is 13764001313. The next prime is 13764001411. The reversal of 13764001400 is 410046731.

It is a self number, because there is not a number n which added to its sum of digits gives 13764001400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 34409804 + ... + 34410203.

It is an arithmetic number, because the mean of its divisors is an integer number (1333387655).

Almost surely, 2^13764001400 is an apocalyptic number.

13764001400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13764001400 is an abundant number, since it is smaller than the sum of its proper divisors (18237302320).

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

13764001400 is a wasteful number, since it uses less digits than its factorization.

13764001400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68820023 (or 68820014 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 26.

The spelling of 13764001400 in words is "thirteen billion, seven hundred sixty-four million, one thousand, four hundred".