713027510784 has 480 divisors, whose sum is σ = 2214486495936. Its totient is φ = 220075130880.

The previous prime is 713027510759. The next prime is 713027510803. The reversal of 713027510784 is 487015720317.

713027510784 is a `hidden beast` number, since 7 + 1 + 30 + 27 + 510 + 7 + 84 = 666.

It is a super-2 number, since 2×713027510784² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2154161499 + ... + 2154161829.

Almost surely, 2^713027510784 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 713027510784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1107243247968).

713027510784 is an abundant number, since it is smaller than the sum of its proper divisors (1501458985152).

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

713027510784 is a wasteful number, since it uses less digits than its factorization.

713027510784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 736 (or 717 counting only the distinct ones).

The product of its (nonzero) digits is 329280, while the sum is 45.

The spelling of 713027510784 in words is "seven hundred thirteen billion, twenty-seven million, five hundred ten thousand, seven hundred eighty-four".