713407564800 has 1848 divisors, whose sum is σ = 3125016621056. Its totient is φ = 158018273280.

The previous prime is 713407564783. The next prime is 713407564813. The reversal of 713407564800 is 8465704317.

713407564800 is a `hidden beast` number, since 7 + 1 + 3 + 4 + 0 + 7 + 564 + 80 + 0 = 666.

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 167 ways as a sum of consecutive naturals, for example, 5617382337 + ... + 5617382463.

Almost surely, 2^713407564800 is an apocalyptic number.

713407564800 is a gapful number since it is divisible by the number (70) 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 713407564800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1562508310528).

713407564800 is an abundant number, since it is smaller than the sum of its proper divisors (2411609056256).

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

713407564800 is a wasteful number, since it uses less digits than its factorization.

713407564800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 225 (or 187 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The spelling of 713407564800 in words is "seven hundred thirteen billion, four hundred seven million, five hundred sixty-four thousand, eight hundred".