9004840824 has 128 divisors (see below), whose sum is σ = 26728289280. Its totient is φ = 2474572800.

The previous prime is 9004840807. The next prime is 9004840861. The reversal of 9004840824 is 4280484009.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 479842 + ... + 498254.

It is an arithmetic number, because the mean of its divisors is an integer number (208814760).

Almost surely, 2^9004840824 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 9004840824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13364144640).

9004840824 is an abundant number, since it is smaller than the sum of its proper divisors (17723448456).

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

9004840824 is a wasteful number, since it uses less digits than its factorization.

9004840824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18541 (or 18537 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 39.

The square root of 9004840824 is about 94893.8397579105. The cubic root of 9004840824 is about 2080.4566939743.

The spelling of 9004840824 in words is "nine billion, four million, eight hundred forty thousand, eight hundred twenty-four".