1357793664 has 64 divisors (see below), whose sum is σ = 3610494000. Its totient is φ = 452114432.

The previous prime is 1357793663. The next prime is 1357793677. The reversal of 1357793664 is 4663977531.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1357793663) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 655222 + ... + 657290.

Almost surely, 2^1357793664 is an apocalyptic number.

It is an amenable number.

1357793664 is an abundant number, since it is smaller than the sum of its proper divisors (2252700336).

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

1357793664 is a wasteful number, since it uses less digits than its factorization.

1357793664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3795 (or 3783 counting only the distinct ones).

The product of its digits is 2857680, while the sum is 51.

The square root of 1357793664 is about 36848.2518445584. The cubic root of 1357793664 is about 1107.3321923869.

The spelling of 1357793664 in words is "one billion, three hundred fifty-seven million, seven hundred ninety-three thousand, six hundred sixty-four".