9840742272 has 128 divisors (see below), whose sum is σ = 29097907200. Its totient is φ = 3274145280.

The previous prime is 9840742217. The next prime is 9840742277. The reversal of 9840742272 is 2722470489.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9840742277) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2095447 + ... + 2100137.

It is an arithmetic number, because the mean of its divisors is an integer number (227327400).

Almost surely, 2^9840742272 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 9840742272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14548953600).

9840742272 is an abundant number, since it is smaller than the sum of its proper divisors (19257164928).

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

9840742272 is a wasteful number, since it uses less digits than its factorization.

9840742272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5321 (or 5303 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 45.

The square root of 9840742272 is about 99200.5154825316. The cubic root of 9840742272 is about 2142.9364201984.

The spelling of 9840742272 in words is "nine billion, eight hundred forty million, seven hundred forty-two thousand, two hundred seventy-two".