9979845258768 has 320 divisors, whose sum is σ = 34039863595008. Its totient is φ = 2439240744960.

The previous prime is 9979845258737. The next prime is 9979845258787. The reversal of 9979845258768 is 8678525489799.

It is a super-2 number, since 2×9979845258768² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 458474221 + ... + 458495987.

Almost surely, 2^{9979845258768} 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 9979845258768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17019931797504).

9979845258768 is an abundant number, since it is smaller than the sum of its proper divisors (24060018336240).

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

9979845258768 is a wasteful number, since it uses less digits than its factorization.

9979845258768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29110 (or 29104 counting only the distinct ones).

The product of its digits is 21946982400, while the sum is 87.

The spelling of 9979845258768 in words is "nine trillion, nine hundred seventy-nine billion, eight hundred forty-five million, two hundred fifty-eight thousand, seven hundred sixty-eight".