9942727968 has 288 divisors, whose sum is σ = 31123310400. Its totient is φ = 3113634816.

The previous prime is 9942727961. The next prime is 9942728011. The reversal of 9942727968 is 8697272499.

It is a tau number, because it is divible by the number of its divisors (288).

It is not an unprimeable number, because it can be changed into a prime (9942727961) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 25559518 + ... + 25559906.

It is an arithmetic number, because the mean of its divisors is an integer number (108067050).

Almost surely, 2^9942727968 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 9942727968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15561655200).

9942727968 is an abundant number, since it is smaller than the sum of its proper divisors (21180582432).

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

9942727968 is a wasteful number, since it uses less digits than its factorization.

9942727968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 606 (or 586 counting only the distinct ones).

The product of its digits is 27433728, while the sum is 63.

The square root of 9942727968 is about 99713.2286509669. The cubic root of 9942727968 is about 2150.3138512801.

The spelling of 9942727968 in words is "nine billion, nine hundred forty-two million, seven hundred twenty-seven thousand, nine hundred sixty-eight".