9927814032 has 160 divisors (see below), whose sum is σ = 30290124800. Its totient is φ = 3104396928.

The previous prime is 9927814031. The next prime is 9927814049. The reversal of 9927814032 is 2304187299.

It is a super-2 number, since 2×9927814032² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (9927814031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 839553 + ... + 851295.

It is an arithmetic number, because the mean of its divisors is an integer number (189313280).

Almost surely, 2^9927814032 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 9927814032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15145062400).

9927814032 is an abundant number, since it is smaller than the sum of its proper divisors (20362310768).

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

9927814032 is a wasteful number, since it uses less digits than its factorization.

9927814032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11882 (or 11870 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 9927814032 is about 99638.4164466698. The cubic root of 9927814032 is about 2149.2381675814.

The spelling of 9927814032 in words is "nine billion, nine hundred twenty-seven million, eight hundred fourteen thousand, thirty-two".