1364378400 has 864 divisors, whose sum is σ = 6317595648. Its totient is φ = 268646400.

The previous prime is 1364378381. The next prime is 1364378473. The reversal of 1364378400 is 48734631.

1364378400 is a `hidden beast` number, since 1 + 3 + 643 + 7 + 8 + 4 + 0 + 0 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 12751147 + ... + 12751253.

It is an arithmetic number, because the mean of its divisors is an integer number (7312032).

Almost surely, 2^1364378400 is an apocalyptic number.

1364378400 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 1364378400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3158797824).

1364378400 is an abundant number, since it is smaller than the sum of its proper divisors (4953217248).

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

1364378400 is a wasteful number, since it uses less digits than its factorization.

1364378400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174 (or 158 counting only the distinct ones).

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

The square root of 1364378400 is about 36937.4931472075. The cubic root of 1364378400 is about 1109.1193404388.

The spelling of 1364378400 in words is "one billion, three hundred sixty-four million, three hundred seventy-eight thousand, four hundred".