9927468720 has 240 divisors, whose sum is σ = 35975197440. Its totient is φ = 2438866944.

The previous prime is 9927468697. The next prime is 9927468739. The reversal of 9927468720 is 278647299.

9927468720 is a `hidden beast` number, since 99 + 27 + 468 + 72 + 0 = 666.

9927468720 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (240).

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 (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8077066 + ... + 8078294.

It is an arithmetic number, because the mean of its divisors is an integer number (149896656).

Almost surely, 2^9927468720 is an apocalyptic number.

9927468720 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 9927468720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17987598720).

9927468720 is an abundant number, since it is smaller than the sum of its proper divisors (26047728720).

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

9927468720 is a wasteful number, since it uses less digits than its factorization.

9927468720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2124 (or 2115 counting only the distinct ones).

The product of its (nonzero) digits is 3048192, while the sum is 54.

The square root of 9927468720 is about 99636.6836059892. The cubic root of 9927468720 is about 2149.2132488251.

The spelling of 9927468720 in words is "nine billion, nine hundred twenty-seven million, four hundred sixty-eight thousand, seven hundred twenty".