9784272960 has 1008 divisors, whose sum is σ = 44365224960. Its totient is φ = 2022451200.

The previous prime is 9784272959. The next prime is 9784272989. The reversal of 9784272960 is 692724879.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 9784272897 and 9784272906.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 51226465 + ... + 51226655.

It is an arithmetic number, because the mean of its divisors is an integer number (44013120).

Almost surely, 2^9784272960 is an apocalyptic number.

9784272960 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 9784272960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22182612480).

9784272960 is an abundant number, since it is smaller than the sum of its proper divisors (34580952000).

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

9784272960 is a wasteful number, since it uses less digits than its factorization.

9784272960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 253 (or 219 counting only the distinct ones).

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

The square root of 9784272960 is about 98915.4839244089. The cubic root of 9784272960 is about 2138.8296042827.

The spelling of 9784272960 in words is "nine billion, seven hundred eighty-four million, two hundred seventy-two thousand, nine hundred sixty".