713808466272 has 288 divisors, whose sum is σ = 2316723462144. Its totient is φ = 206538086400.

The previous prime is 713808466271. The next prime is 713808466289. The reversal of 713808466272 is 272664808317.

713808466272 is a `hidden beast` number, since 7 + 1 + 3 + 8 + 0 + 8 + 4 + 6 + 627 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (713808466271) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6046273 + ... + 6163199.

It is an arithmetic number, because the mean of its divisors is an integer number (8044178688).

Almost surely, 2^713808466272 is an apocalyptic number.

713808466272 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 713808466272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1158361731072).

713808466272 is an abundant number, since it is smaller than the sum of its proper divisors (1602914995872).

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

713808466272 is a wasteful number, since it uses less digits than its factorization.

713808466272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117042 (or 117031 counting only the distinct ones).

The product of its (nonzero) digits is 5419008, while the sum is 54.

The spelling of 713808466272 in words is "seven hundred thirteen billion, eight hundred eight million, four hundred sixty-six thousand, two hundred seventy-two".