713113228800 has 2160 divisors, whose sum is σ = 3205309021200. Its totient is φ = 150493593600.

The previous prime is 713113228769. The next prime is 713113228913. The reversal of 713113228800 is 8822311317.

It is a super-2 number, since 2×713113228800² (a number of 25 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 6542323146 + ... + 6542323254.

Almost surely, 2^713113228800 is an apocalyptic number.

713113228800 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 713113228800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1602654510600).

713113228800 is an abundant number, since it is smaller than the sum of its proper divisors (2492195792400).

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

713113228800 is a wasteful number, since it uses less digits than its factorization.

713113228800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 237 (or 206 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The spelling of 713113228800 in words is "seven hundred thirteen billion, one hundred thirteen million, two hundred twenty-eight thousand, eight hundred".