9713369933568 has 1152 divisors, whose sum is σ = 34047218688000. Its totient is φ = 2708239712256.

The previous prime is 9713369933567. The next prime is 9713369933569. The reversal of 9713369933568 is 8653399633179.

It is a happy number.

9713369933568 is a `hidden beast` number, since 97 + 1 + 3 + 369 + 93 + 35 + 68 = 666.

It is an interprime number because it is at equal distance from previous prime (9713369933567) and next prime (9713369933569).

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 9713369933496 and 9713369933505.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9713369933567) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 42416462478 + ... + 42416462706.

Almost surely, 2^{9713369933568} 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 9713369933568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17023609344000).

9713369933568 is an abundant number, since it is smaller than the sum of its proper divisors (24333848754432).

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

9713369933568 is an equidigital number, since it uses as much as digits as its factorization.

9713369933568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 489 (or 457 counting only the distinct ones).

The product of its digits is 595213920, while the sum is 72.

The spelling of 9713369933568 in words is "nine trillion, seven hundred thirteen billion, three hundred sixty-nine million, nine hundred thirty-three thousand, five hundred sixty-eight".