9962376979968 has 320 divisors, whose sum is σ = 35167404856320. Its totient is φ = 2722636578816.

The previous prime is 9962376979883. The next prime is 9962376979969. The reversal of 9962376979968 is 8699796732699.

9962376979968 is a `hidden beast` number, since 9 + 9 + 6 + 2 + 376 + 97 + 99 + 68 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9962376979969) 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 31 ways as a sum of consecutive naturals, for example, 12405 + ... + 4463732.

It is an arithmetic number, because the mean of its divisors is an integer number (109898140176).

Almost surely, 2^{9962376979968} 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 9962376979968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17583702428160).

9962376979968 is an abundant number, since it is smaller than the sum of its proper divisors (25205027876352).

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

9962376979968 is a wasteful number, since it uses less digits than its factorization.

9962376979968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4476194 (or 4476172 counting only the distinct ones).

The product of its digits is 29998781568, while the sum is 90.

The spelling of 9962376979968 in words is "nine trillion, nine hundred sixty-two billion, three hundred seventy-six million, nine hundred seventy-nine thousand, nine hundred sixty-eight".