9976389099768 has 768 divisors, whose sum is σ = 36196250388480. Its totient is φ = 2502014220288.

The previous prime is 9976389099763. The next prime is 9976389099779. The reversal of 9976389099768 is 8679909836799.

9976389099768 is a `hidden beast` number, since 9 + 9 + 76 + 389 + 0 + 99 + 76 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9976389099763) 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 191 ways as a sum of consecutive naturals, for example, 703893930 + ... + 703908102.

It is an arithmetic number, because the mean of its divisors is an integer number (47130534360).

Almost surely, 2^{9976389099768} 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 9976389099768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18098125194240).

9976389099768 is an abundant number, since it is smaller than the sum of its proper divisors (26219861288712).

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

9976389099768 is a wasteful number, since it uses less digits than its factorization.

9976389099768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14410 (or 14394 counting only the distinct ones).

The product of its (nonzero) digits is 19999187712, while the sum is 90.

The spelling of 9976389099768 in words is "nine trillion, nine hundred seventy-six billion, three hundred eighty-nine million, ninety-nine thousand, seven hundred sixty-eight".