9984541840 has 120 divisors (see below), whose sum is σ = 29081498040. Its totient is φ = 3159926784.

The previous prime is 9984541829. The next prime is 9984541841. The reversal of 9984541840 is 481454899.

It can be written as a sum of positive squares in 4 ways, for example, as 3732624 + 9980809216 = 1932^2 + 99904^2 .

It is a Harshad number since it is a multiple of its sum of digits (52).

It is not an unprimeable number, because it can be changed into a prime (9984541841) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 47005 + ... + 148924.

It is an arithmetic number, because the mean of its divisors is an integer number (242345817).

Almost surely, 2^9984541840 is an apocalyptic number.

It is an amenable number.

9984541840 is an abundant number, since it is smaller than the sum of its proper divisors (19096956200).

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

9984541840 is a wasteful number, since it uses less digits than its factorization.

9984541840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195969 (or 195956 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 52.

The square root of 9984541840 is about 99922.6793075526. The cubic root of 9984541840 is about 2153.3239976549.

The spelling of 9984541840 in words is "nine billion, nine hundred eighty-four million, five hundred forty-one thousand, eight hundred forty".