1356868800 has 504 divisors, whose sum is σ = 5762823120. Its totient is φ = 309657600.

The previous prime is 1356868783. The next prime is 1356868837. The reversal of 1356868800 is 88686531.

1356868800 is a `hidden beast` number, since 1 + 3 + 568 + 6 + 8 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (504).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2116480 + ... + 2117120.

Almost surely, 2^1356868800 is an apocalyptic number.

1356868800 is a gapful number since it is divisible by the number (10) 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 1356868800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2881411560).

1356868800 is an abundant number, since it is smaller than the sum of its proper divisors (4405954320).

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

1356868800 is a wasteful number, since it uses less digits than its factorization.

1356868800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 686 (or 658 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The square root of 1356868800 is about 36835.7000747916. The cubic root of 1356868800 is about 1107.0807147322.

The spelling of 1356868800 in words is "one billion, three hundred fifty-six million, eight hundred sixty-eight thousand, eight hundred".