713642777640 has 384 divisors, whose sum is σ = 2659503974400. Its totient is φ = 164405698560.

The previous prime is 713642777633. The next prime is 713642777663. The reversal of 713642777640 is 46777246317.

713642777640 is a `hidden beast` number, since 7 + 1 + 364 + 277 + 7 + 6 + 4 + 0 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

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, 14216185 + ... + 14266295.

It is an arithmetic number, because the mean of its divisors is an integer number (6925791600).

Almost surely, 2^713642777640 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 713642777640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1329751987200).

713642777640 is an abundant number, since it is smaller than the sum of its proper divisors (1945861196760).

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

713642777640 is a wasteful number, since it uses less digits than its factorization.

713642777640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50337 (or 50330 counting only the distinct ones).

The product of its (nonzero) digits is 8297856, while the sum is 54.

The spelling of 713642777640 in words is "seven hundred thirteen billion, six hundred forty-two million, seven hundred seventy-seven thousand, six hundred forty".