713788508160 has 864 divisors, whose sum is σ = 3061951139520. Its totient is φ = 150578528256.

The previous prime is 713788508101. The next prime is 713788508177. The reversal of 713788508160 is 61805887317.

It is a happy number.

713788508160 is a `hidden beast` number, since 7 + 1 + 3 + 78 + 8 + 508 + 1 + 60 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 713788508097 and 713788508106.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 109022007 + ... + 109028553.

It is an arithmetic number, because the mean of its divisors is an integer number (3543924930).

Almost surely, 2^713788508160 is an apocalyptic number.

713788508160 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 713788508160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1530975569760).

713788508160 is an abundant number, since it is smaller than the sum of its proper divisors (2348162631360).

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

713788508160 is a wasteful number, since it uses less digits than its factorization.

713788508160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6613 (or 6577 counting only the distinct ones).

The product of its (nonzero) digits is 2257920, while the sum is 54.

The spelling of 713788508160 in words is "seven hundred thirteen billion, seven hundred eighty-eight million, five hundred eight thousand, one hundred sixty".