713973560400 has 420 divisors, whose sum is σ = 2586854422908. Its totient is φ = 189279037440.

The previous prime is 713973560389. The next prime is 713973560407. The reversal of 713973560400 is 4065379317.

713973560400 is a `hidden beast` number, since 7 + 1 + 3 + 9 + 7 + 35 + 604 + 0 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 1056770064 + 712916790336 = 32508^2 + 844344^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (713973560407) by changing a digit.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 50439724 + ... + 50453876.

Almost surely, 2^713973560400 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 713973560400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1293427211454).

713973560400 is an abundant number, since it is smaller than the sum of its proper divisors (1872880862508).

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

713973560400 is a wasteful number, since it uses less digits than its factorization.

713973560400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14362 (or 14336 counting only the distinct ones).

The product of its (nonzero) digits is 476280, while the sum is 45.

The spelling of 713973560400 in words is "seven hundred thirteen billion, nine hundred seventy-three million, five hundred sixty thousand, four hundred".