9979157760 has 576 divisors, whose sum is σ = 39682379520. Its totient is φ = 2099773440.

The previous prime is 9979157759. The next prime is 9979157807. The reversal of 9979157760 is 677519799.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 9979157694 and 9979157703.

It is a congruent number.

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, 9334506 + ... + 9335574.

It is an arithmetic number, because the mean of its divisors is an integer number (68893020).

Almost surely, 2^9979157760 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 9979157760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19841189760).

9979157760 is an abundant number, since it is smaller than the sum of its proper divisors (29703221760).

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

9979157760 is a wasteful number, since it uses less digits than its factorization.

9979157760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1134 (or 1120 counting only the distinct ones).

The product of its (nonzero) digits is 7501410, while the sum is 60.

The square root of 9979157760 is about 99895.7344434686. The cubic root of 9979157760 is about 2152.9368741257.

The spelling of 9979157760 in words is "nine billion, nine hundred seventy-nine million, one hundred fifty-seven thousand, seven hundred sixty".