713577953088 has 2016 divisors, whose sum is σ = 2962663022592. Its totient is φ = 159152947200.

The previous prime is 713577953063. The next prime is 713577953089. The reversal of 713577953088 is 880359775317.

713577953088 is a `hidden beast` number, since 7 + 1 + 3 + 577 + 9 + 53 + 0 + 8 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (713577953089) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 8597324695 + ... + 8597324777.

It is an arithmetic number, because the mean of its divisors is an integer number (1469574912).

Almost surely, 2^713577953088 is an apocalyptic number.

713577953088 is a gapful number since it is divisible by the number (78) 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 713577953088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1481331511296).

713577953088 is an abundant number, since it is smaller than the sum of its proper divisors (2249085069504).

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

713577953088 is a wasteful number, since it uses less digits than its factorization.

713577953088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 213 (or 187 counting only the distinct ones).

The product of its (nonzero) digits is 44452800, while the sum is 63.

The spelling of 713577953088 in words is "seven hundred thirteen billion, five hundred seventy-seven million, nine hundred fifty-three thousand, eighty-eight".