9909355680 has 576 divisors, whose sum is σ = 40475635200. Its totient is φ = 2159861760.

The previous prime is 9909355667. The next prime is 9909355759. The reversal of 9909355680 is 865539099.

9909355680 is a `hidden beast` number, since 9 + 9 + 0 + 9 + 3 + 556 + 80 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 31862725 + ... + 31863035.

It is an arithmetic number, because the mean of its divisors is an integer number (70270200).

Almost surely, 2^9909355680 is an apocalyptic number.

9909355680 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 9909355680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20237817600).

9909355680 is an abundant number, since it is smaller than the sum of its proper divisors (30566279520).

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

9909355680 is a wasteful number, since it uses less digits than its factorization.

9909355680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 477 (or 466 counting only the distinct ones).

The product of its (nonzero) digits is 2624400, while the sum is 54.

The square root of 9909355680 is about 99545.7466695589. The cubic root of 9909355680 is about 2147.9053462655.

The spelling of 9909355680 in words is "nine billion, nine hundred nine million, three hundred fifty-five thousand, six hundred eighty".