1357779864 has 128 divisors (see below), whose sum is σ = 3991680000. Its totient is φ = 376856064.

The previous prime is 1357779859. The next prime is 1357779923. The reversal of 1357779864 is 4689777531.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 969837 + ... + 971235.

It is an arithmetic number, because the mean of its divisors is an integer number (31185000).

Almost surely, 2^1357779864 is an apocalyptic number.

1357779864 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1357779864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1995840000).

1357779864 is an abundant number, since it is smaller than the sum of its proper divisors (2633900136).

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

1357779864 is a wasteful number, since it uses less digits than its factorization.

1357779864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1577 (or 1573 counting only the distinct ones).

The product of its digits is 8890560, while the sum is 57.

The square root of 1357779864 is about 36848.0645896090. The cubic root of 1357779864 is about 1107.3284408999.

The spelling of 1357779864 in words is "one billion, three hundred fifty-seven million, seven hundred seventy-nine thousand, eight hundred sixty-four".