3640569940400 has 60 divisors (see below), whose sum is σ = 8752081088400. Its totient is φ = 1455293648640.

The previous prime is 3640569940379. The next prime is 3640569940411. The reversal of 3640569940400 is 40499650463.

It is a Harshad number since it is a multiple of its sum of digits (50).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2295395 + ... + 3542594.

It is an arithmetic number, because the mean of its divisors is an integer number (145868018140).

Almost surely, 2^{3640569940400} is an apocalyptic number.

It is an amenable number.

3640569940400 is an abundant number, since it is smaller than the sum of its proper divisors (5111511148000).

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

3640569940400 is a wasteful number, since it uses less digits than its factorization.

3640569940400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5839566 (or 5839555 counting only the distinct ones).

The product of its (nonzero) digits is 2799360, while the sum is 50.

The spelling of 3640569940400 in words is "three trillion, six hundred forty billion, five hundred sixty-nine million, nine hundred forty thousand, four hundred".