1357638768 has 240 divisors, whose sum is σ = 4291466400. Its totient is φ = 399513600.

The previous prime is 1357638767. The next prime is 1357638773. The reversal of 1357638768 is 8678367531.

1357638768 is a `hidden beast` number, since 1 + 3 + 576 + 3 + 8 + 7 + 68 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1357638767) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13441918 + ... + 13442018.

It is an arithmetic number, because the mean of its divisors is an integer number (17881110).

Almost surely, 2^1357638768 is an apocalyptic number.

1357638768 is a gapful number since it is divisible by the number (18) 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 1357638768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2145733200).

1357638768 is an abundant number, since it is smaller than the sum of its proper divisors (2933827632).

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

1357638768 is a wasteful number, since it uses less digits than its factorization.

1357638768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 185 (or 142 counting only the distinct ones).

The product of its digits is 5080320, while the sum is 54.

The square root of 1357638768 is about 36846.1499752688. The cubic root of 1357638768 is about 1107.2900829328.

The spelling of 1357638768 in words is "one billion, three hundred fifty-seven million, six hundred thirty-eight thousand, seven hundred sixty-eight".