9968740623792 has 320 divisors, whose sum is σ = 29828719411200. Its totient is φ = 3185189879040.

The previous prime is 9968740623769. The next prime is 9968740623799. The reversal of 9968740623792 is 2973260478699.

9968740623792 is a `hidden beast` number, since 99 + 68 + 7 + 406 + 2 + 3 + 79 + 2 = 666.

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 9968740623792.

It is not an unprimeable number, because it can be changed into a prime (9968740623799) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 324625303 + ... + 324656009.

It is an arithmetic number, because the mean of its divisors is an integer number (93214748160).

Almost surely, 2^{9968740623792} 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 9968740623792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14914359705600).

9968740623792 is an abundant number, since it is smaller than the sum of its proper divisors (19859978787408).

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

9968740623792 is a wasteful number, since it uses less digits than its factorization.

9968740623792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31101 (or 31089 counting only the distinct ones).

The product of its (nonzero) digits is 493807104, while the sum is 72.

The spelling of 9968740623792 in words is "nine trillion, nine hundred sixty-eight billion, seven hundred forty million, six hundred twenty-three thousand, seven hundred ninety-two".