9984906072 has 192 divisors, whose sum is σ = 29775924000. Its totient is φ = 3100225536.

The previous prime is 9984906047. The next prime is 9984906077. The reversal of 9984906072 is 2706094899.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

9984906072 is a `hidden beast` number, since 9 + 98 + 490 + 60 + 7 + 2 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9984906077) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 102937128 + ... + 102937224.

Almost surely, 2^9984906072 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 9984906072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14887962000).

9984906072 is an abundant number, since it is smaller than the sum of its proper divisors (19791017928).

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

9984906072 is an equidigital number, since it uses as much as digits as its factorization.

9984906072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 260 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 1959552, while the sum is 54.

The square root of 9984906072 is about 99924.5018601544. The cubic root of 9984906072 is about 2153.3501814625.

The spelling of 9984906072 in words is "nine billion, nine hundred eighty-four million, nine hundred six thousand, seventy-two".