9768822336792 has 256 divisors, whose sum is σ = 28852193520000. Its totient is φ = 3057690746880.

The previous prime is 9768822336751. The next prime is 9768822336851. The reversal of 9768822336792 is 2976332288679.

It is a happy number.

9768822336792 is a `hidden beast` number, since 97 + 68 + 82 + 2 + 336 + 79 + 2 = 666.

It is a super-2 number, since 2×9768822336792² (a number of 27 digits) contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 9768822336792.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 33863628 + ... + 34150884.

Almost surely, 2^{9768822336792} 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 9768822336792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14426096760000).

9768822336792 is an abundant number, since it is smaller than the sum of its proper divisors (19083371183208).

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

9768822336792 is a wasteful number, since it uses less digits than its factorization.

9768822336792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 287451 (or 287441 counting only the distinct ones).

The product of its digits is 658409472, while the sum is 72.

The spelling of 9768822336792 in words is "nine trillion, seven hundred sixty-eight billion, eight hundred twenty-two million, three hundred thirty-six thousand, seven hundred ninety-two".