9927688320 has 512 divisors, whose sum is σ = 39701664000. Its totient is φ = 2322432000.

The previous prime is 9927688307. The next prime is 9927688321. The reversal of 9927688320 is 238867299.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (9927688321) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 5511420 + ... + 5513220.

Almost surely, 2^9927688320 is an apocalyptic number.

9927688320 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 9927688320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19850832000).

9927688320 is an abundant number, since it is smaller than the sum of its proper divisors (29773975680).

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

9927688320 is a wasteful number, since it uses less digits than its factorization.

9927688320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1869 (or 1851 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 54.

The square root of 9927688320 is about 99637.7856036554. The cubic root of 9927688320 is about 2149.2290958909.

The spelling of 9927688320 in words is "nine billion, nine hundred twenty-seven million, six hundred eighty-eight thousand, three hundred twenty".