713027613312 has 768 divisors, whose sum is σ = 2509693255680. Its totient is φ = 189998161920.

The previous prime is 713027613307. The next prime is 713027613323. The reversal of 713027613312 is 213316720317.

713027613312 is a `hidden beast` number, since 7 + 1 + 3 + 0 + 2 + 7 + 613 + 31 + 2 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1174674513 + ... + 1174675119.

It is an arithmetic number, because the mean of its divisors is an integer number (3267829760).

Almost surely, 2^713027613312 is an apocalyptic number.

713027613312 is a gapful number since it is divisible by the number (72) 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 713027613312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1254846627840).

713027613312 is an abundant number, since it is smaller than the sum of its proper divisors (1796665642368).

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

713027613312 is a wasteful number, since it uses less digits than its factorization.

713027613312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 829 (or 814 counting only the distinct ones).

The product of its (nonzero) digits is 31752, while the sum is 36.

The spelling of 713027613312 in words is "seven hundred thirteen billion, twenty-seven million, six hundred thirteen thousand, three hundred twelve".