713327616 has 264 divisors, whose sum is σ = 2270450520. Its totient is φ = 214695936.

The previous prime is 713327611. The next prime is 713327623. The reversal of 713327616 is 616723317.

713327616 is a `hidden beast` number, since 7 + 1 + 3 + 32 + 7 + 616 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 132710400 + 580617216 = 11520^2 + 24096^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (713327611) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4543410 + ... + 4543566.

Almost surely, 2^713327616 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 713327616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1135225260).

713327616 is an abundant number, since it is smaller than the sum of its proper divisors (1557122904).

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

713327616 is a wasteful number, since it uses less digits than its factorization.

713327616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 229 (or 208 counting only the distinct ones).

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

The square root of 713327616 is about 26708.1937989075. The cubic root of 713327616 is about 893.5036807892.

It can be divided in two parts, 713 and 327616, that added together give a square (328329 = 573²).

The spelling of 713327616 in words is "seven hundred thirteen million, three hundred twenty-seven thousand, six hundred sixteen".