9947084160 has 256 divisors, whose sum is σ = 35631912960. Its totient is φ = 2341920768.

The previous prime is 9947084153. The next prime is 9947084209. The reversal of 9947084160 is 614807499.

It is a super-3 number, since 3×9947084160³ (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 565417 + ... + 582743.

It is an arithmetic number, because the mean of its divisors is an integer number (139187160).

Almost surely, 2^9947084160 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 9947084160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17815956480).

9947084160 is an abundant number, since it is smaller than the sum of its proper divisors (25684828800).

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

9947084160 is a wasteful number, since it uses less digits than its factorization.

9947084160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17385 (or 17373 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 48.

The square root of 9947084160 is about 99735.0698601049. The cubic root of 9947084160 is about 2150.6278433203.

The spelling of 9947084160 in words is "nine billion, nine hundred forty-seven million, eighty-four thousand, one hundred sixty".