1364374800 has 480 divisors, whose sum is σ = 5243216000. Its totient is φ = 335923200.

The previous prime is 1364374799. The next prime is 1364374807. The reversal of 1364374800 is 84734631.

1364374800 is a `hidden beast` number, since 1 + 3 + 643 + 7 + 4 + 8 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (1364374807) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 12517146 + ... + 12517254.

Almost surely, 2^1364374800 is an apocalyptic number.

1364374800 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 1364374800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2621608000).

1364374800 is an abundant number, since it is smaller than the sum of its proper divisors (3878841200).

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

1364374800 is a wasteful number, since it uses less digits than its factorization.

1364374800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 216 (or 199 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 1364374800 is about 36937.4444162018. Note that the first 4 decimals coincide. The cubic root of 1364374800 is about 1109.1183649438.

The spelling of 1364374800 in words is "one billion, three hundred sixty-four million, three hundred seventy-four thousand, eight hundred".