9901092672 has 140 divisors (see below), whose sum is σ = 31076684100. Its totient is φ = 3106197504.

The previous prime is 9901092661. The next prime is 9901092703. The reversal of 9901092672 is 2762901099.

It can be written as a sum of positive squares in 2 ways, for example, as 7690588416 + 2210504256 = 87696^2 + 47016^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 31954 + ... + 144302.

It is an arithmetic number, because the mean of its divisors is an integer number (221976315).

Almost surely, 2^9901092672 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 9901092672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15538342050).

9901092672 is an abundant number, since it is smaller than the sum of its proper divisors (21175591428).

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

9901092672 is a wasteful number, since it uses less digits than its factorization.

9901092672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112390 (or 112371 counting only the distinct ones).

The product of its (nonzero) digits is 122472, while the sum is 45.

The square root of 9901092672 is about 99504.2344425603. The cubic root of 9901092672 is about 2147.3081633246.

The spelling of 9901092672 in words is "nine billion, nine hundred one million, ninety-two thousand, six hundred seventy-two".