713225779200 has 2304 divisors, whose sum is σ = 3158797824000. Its totient is φ = 155713536000.

The previous prime is 713225779171. The next prime is 713225779237. The reversal of 713225779200 is 2977522317.

713225779200 is a `hidden beast` number, since 7 + 1 + 322 + 57 + 79 + 200 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 8013772756 + ... + 8013772844.

It is an arithmetic number, because the mean of its divisors is an integer number (1371006000).

Almost surely, 2^713225779200 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 713225779200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1579398912000).

713225779200 is an abundant number, since it is smaller than the sum of its proper divisors (2445572044800).

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

713225779200 is a wasteful number, since it uses less digits than its factorization.

713225779200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189 (or 158 counting only the distinct ones).

The product of its (nonzero) digits is 370440, while the sum is 45.

The spelling of 713225779200 in words is "seven hundred thirteen billion, two hundred twenty-five million, seven hundred seventy-nine thousand, two hundred".