9821683872 has 864 divisors, whose sum is σ = 39652913664. Its totient is φ = 2264371200.

The previous prime is 9821683867. The next prime is 9821683897. The reversal of 9821683872 is 2783861289.

It is a happy number.

It is a nude number because it is divisible by every one of its digits.

Its product of digits (2322432) is a multiple of the sum of its prime divisors (224).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 62558418 + ... + 62558574.

It is an arithmetic number, because the mean of its divisors is an integer number (45894576).

Almost surely, 2^9821683872 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 9821683872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19826456832).

9821683872 is an abundant number, since it is smaller than the sum of its proper divisors (29831229792).

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

9821683872 is a wasteful number, since it uses less digits than its factorization.

9821683872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 242 (or 224 counting only the distinct ones).

The product of its digits is 2322432, while the sum is 54.

The square root of 9821683872 is about 99104.4089432958. The cubic root of 9821683872 is about 2141.5521298653.

The spelling of 9821683872 in words is "nine billion, eight hundred twenty-one million, six hundred eighty-three thousand, eight hundred seventy-two".