713507097600 has 792 divisors, whose sum is σ = 2890434875328. Its totient is φ = 172954828800.

The previous prime is 713507097599. The next prime is 713507097601. The reversal of 713507097600 is 6790705317.

713507097600 is a `hidden beast` number, since 7 + 1 + 35 + 0 + 7 + 0 + 9 + 7 + 600 = 666.

It is an interprime number because it is at equal distance from previous prime (713507097599) and next prime (713507097601).

It is a tau number, because it is divible by the number of its divisors (792).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (713507097601) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 68423587 + ... + 68434013.

It is an arithmetic number, because the mean of its divisors is an integer number (3649538984).

Almost surely, 2^713507097600 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 713507097600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1445217437664).

713507097600 is an abundant number, since it is smaller than the sum of its proper divisors (2176927777728).

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

713507097600 is a wasteful number, since it uses less digits than its factorization.

713507097600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10483 (or 10448 counting only the distinct ones).

The product of its (nonzero) digits is 277830, while the sum is 45.

The spelling of 713507097600 in words is "seven hundred thirteen billion, five hundred seven million, ninety-seven thousand, six hundred".