713275617600 has 1008 divisors, whose sum is σ = 3140964048768. Its totient is φ = 149491630080.

The previous prime is 713275617511. The next prime is 713275617619. The reversal of 713275617600 is 6716572317.

713275617600 is a `hidden beast` number, since 7 + 1 + 3 + 27 + 5 + 6 + 17 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a super-2 number, since 2×713275617600² (a number of 25 digits) contains 22 as substring.

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 205731067 + ... + 205734533.

Almost surely, 2^713275617600 is an apocalyptic number.

713275617600 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 713275617600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1570482024384).

713275617600 is an abundant number, since it is smaller than the sum of its proper divisors (2427688431168).

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

713275617600 is a wasteful number, since it uses less digits than its factorization.

713275617600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3672 (or 3654 counting only the distinct ones).

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

The spelling of 713275617600 in words is "seven hundred thirteen billion, two hundred seventy-five million, six hundred seventeen thousand, six hundred".