9840916272 has 160 divisors (see below), whose sum is σ = 28702162944. Its totient is φ = 2878444800.

The previous prime is 9840916247. The next prime is 9840916279. The reversal of 9840916272 is 2726190489.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (9840916279) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11899123 + ... + 11899949.

Almost surely, 2^9840916272 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 9840916272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14351081472).

9840916272 is an abundant number, since it is smaller than the sum of its proper divisors (18861246672).

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

9840916272 is a wasteful number, since it uses less digits than its factorization.

9840916272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1607 (or 1601 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 48.

The square root of 9840916272 is about 99201.3924902267. The cubic root of 9840916272 is about 2142.9490503006.

The spelling of 9840916272 in words is "nine billion, eight hundred forty million, nine hundred sixteen thousand, two hundred seventy-two".