9983832264 has 384 divisors, whose sum is σ = 33965568000. Its totient is φ = 2585779200.

The previous prime is 9983832259. The next prime is 9983832269. The reversal of 9983832264 is 4622383899.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (9983832259) and next prime (9983832269).

It is a super-3 number, since 3×9983832264³ (a number of 31 digits) contains 333 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 9983832264.

It is not an unprimeable number, because it can be changed into a prime (9983832269) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 23164129 + ... + 23164559.

It is an arithmetic number, because the mean of its divisors is an integer number (88452000).

Almost surely, 2^9983832264 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 9983832264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16982784000).

9983832264 is an abundant number, since it is smaller than the sum of its proper divisors (23981735736).

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

9983832264 is a wasteful number, since it uses less digits than its factorization.

9983832264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 569 (or 562 counting only the distinct ones).

The product of its digits is 4478976, while the sum is 54.

The square root of 9983832264 is about 99919.1286190988. The cubic root of 9983832264 is about 2153.2729860261.

The spelling of 9983832264 in words is "nine billion, nine hundred eighty-three million, eight hundred thirty-two thousand, two hundred sixty-four".