1368964800 has 504 divisors, whose sum is σ = 5778130176. Its totient is φ = 312284160.

The previous prime is 1368964789. The next prime is 1368964843. The reversal of 1368964800 is 84698631.

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, 2721349 + ... + 2721851.

It is an arithmetic number, because the mean of its divisors is an integer number (11464544).

Almost surely, 2^1368964800 is an apocalyptic number.

1368964800 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 1368964800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2889065088).

1368964800 is an abundant number, since it is smaller than the sum of its proper divisors (4409165376).

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

1368964800 is an equidigital number, since it uses as much as digits as its factorization.

1368964800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 547 (or 520 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 1368964800 is about 36999.5243212666. The cubic root of 1368964800 is about 1110.3607300903.

The spelling of 1368964800 in words is "one billion, three hundred sixty-eight million, nine hundred sixty-four thousand, eight hundred".