9985724424 has 96 divisors (see below), whose sum is σ = 29347718400. Its totient is φ = 3049038720.

The previous prime is 9985724423. The next prime is 9985724431. The reversal of 9985724424 is 4244275899.

It is a happy number.

9985724424 is a `hidden beast` number, since 9 + 9 + 8 + 572 + 44 + 24 = 666.

It is not an unprimeable number, because it can be changed into a prime (9985724423) 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, 81897 + ... + 163335.

It is an arithmetic number, because the mean of its divisors is an integer number (305705400).

Almost surely, 2^9985724424 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 9985724424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14673859200).

9985724424 is an abundant number, since it is smaller than the sum of its proper divisors (19361993976).

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

9985724424 is a wasteful number, since it uses less digits than its factorization.

9985724424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81595 (or 81588 counting only the distinct ones).

The product of its digits is 5806080, while the sum is 54.

The square root of 9985724424 is about 99928.5966277922. The cubic root of 9985724424 is about 2153.4090085987.

The spelling of 9985724424 in words is "nine billion, nine hundred eighty-five million, seven hundred twenty-four thousand, four hundred twenty-four".