9721833984 has 120 divisors (see below), whose sum is σ = 28443209652. Its totient is φ = 3196108800.

The previous prime is 9721833887. The next prime is 9721834123. The reversal of 9721833984 is 4893381279.

9721833984 is a `hidden beast` number, since 9 + 72 + 183 + 398 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 8100000000 + 1621833984 = 90000^2 + 40272^2 .

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 9721833984.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 321934 + ... + 350834.

Almost surely, 2^9721833984 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 9721833984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14221604826).

9721833984 is an abundant number, since it is smaller than the sum of its proper divisors (18721375668).

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

9721833984 is a wasteful number, since it uses less digits than its factorization.

9721833984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28998 (or 28979 counting only the distinct ones).

The product of its digits is 2612736, while the sum is 54.

The square root of 9721833984 is about 98599.3609715601. The cubic root of 9721833984 is about 2134.2701982327.

The spelling of 9721833984 in words is "nine billion, seven hundred twenty-one million, eight hundred thirty-three thousand, nine hundred eighty-four".