9984933072 has 80 divisors (see below), whose sum is σ = 29435110080. Its totient is φ = 3238351488.

The previous prime is 9984933061. The next prime is 9984933083. The reversal of 9984933072 is 2703394899.

9984933072 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (9984933061) and next prime (9984933083).

It is a super-3 number, since 3×9984933072³ (a number of 31 digits) contains 333 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 296358 + ... + 328325.

It is an arithmetic number, because the mean of its divisors is an integer number (367938876).

Almost surely, 2^9984933072 is an apocalyptic number.

It is an amenable number.

9984933072 is an abundant number, since it is smaller than the sum of its proper divisors (19450177008).

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

9984933072 is a wasteful number, since it uses less digits than its factorization.

9984933072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 624737 (or 624725 counting only the distinct ones).

The product of its (nonzero) digits is 2939328, while the sum is 54.

The square root of 9984933072 is about 99924.6369620626. The cubic root of 9984933072 is about 2153.3521224056.

The spelling of 9984933072 in words is "nine billion, nine hundred eighty-four million, nine hundred thirty-three thousand, seventy-two".