713508082560 has 3840 divisors, whose sum is σ = 3573974638080. Its totient is φ = 133772083200.

The previous prime is 713508082549. The next prime is 713508082603. The reversal of 713508082560 is 65280805317.

713508082560 is a `hidden beast` number, since 7 + 1 + 3 + 5 + 0 + 8 + 0 + 82 + 560 = 666.

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 479 ways as a sum of consecutive naturals, for example, 17402636140 + ... + 17402636180.

It is an arithmetic number, because the mean of its divisors is an integer number (930722562).

Almost surely, 2^713508082560 is an apocalyptic number.

713508082560 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 713508082560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1786987319040).

713508082560 is an abundant number, since it is smaller than the sum of its proper divisors (2860466555520).

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

713508082560 is a wasteful number, since it uses less digits than its factorization.

713508082560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 45.

Adding to 713508082560 its reverse (65280805317), we get a palindrome (778788887877).

The spelling of 713508082560 in words is "seven hundred thirteen billion, five hundred eight million, eighty-two thousand, five hundred sixty".