9913315680 has 192 divisors, whose sum is σ = 34931736000. Its totient is φ = 2625638400.

The previous prime is 9913315669. The next prime is 9913315693. The reversal of 9913315680 is 865133199.

It is a super-3 number, since 3×9913315680³ (a number of 31 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 635980 + ... + 651380.

It is an arithmetic number, because the mean of its divisors is an integer number (181936125).

Almost surely, 2^9913315680 is an apocalyptic number.

9913315680 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9913315680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17465868000).

9913315680 is an abundant number, since it is smaller than the sum of its proper divisors (25018420320).

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

9913315680 is a wasteful number, since it uses less digits than its factorization.

9913315680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15574 (or 15560 counting only the distinct ones).

The product of its (nonzero) digits is 174960, while the sum is 45.

The square root of 9913315680 is about 99565.6350353876. The cubic root of 9913315680 is about 2148.1914251548.

The spelling of 9913315680 in words is "nine billion, nine hundred thirteen million, three hundred fifteen thousand, six hundred eighty".