713116275840 has 384 divisors, whose sum is σ = 2608042993920. Its totient is φ = 186116382720.

The previous prime is 713116275749. The next prime is 713116275847. The reversal of 713116275840 is 48572611317.

713116275840 is a `hidden beast` number, since 7 + 1 + 3 + 1 + 1 + 62 + 7 + 584 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-3 number, since 3×713116275840³ (a number of 37 digits) contains 333 as substring.

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 (713116275847) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7260660 + ... + 7358220.

It is an arithmetic number, because the mean of its divisors is an integer number (6791778630).

Almost surely, 2^713116275840 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 713116275840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1304021496960).

713116275840 is an abundant number, since it is smaller than the sum of its proper divisors (1894926718080).

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

713116275840 is an equidigital number, since it uses as much as digits as its factorization.

713116275840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97642 (or 97618 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 45.

The spelling of 713116275840 in words is "seven hundred thirteen billion, one hundred sixteen million, two hundred seventy-five thousand, eight hundred forty".