9693680832 has 560 divisors, whose sum is σ = 34520428800. Its totient is φ = 2655037440.

The previous prime is 9693680819. The next prime is 9693680833. The reversal of 9693680832 is 2380863969.

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

It is not an unprimeable number, because it can be changed into a prime (9693680833) 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 79 ways as a sum of consecutive naturals, for example, 24919294 + ... + 24919682.

Almost surely, 2^9693680832 is an apocalyptic number.

9693680832 is a gapful number since it is divisible by the number (92) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9693680832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17260214400).

9693680832 is an abundant number, since it is smaller than the sum of its proper divisors (24826747968).

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

9693680832 is a wasteful number, since it uses less digits than its factorization.

9693680832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 466 (or 447 counting only the distinct ones).

The product of its (nonzero) digits is 3359232, while the sum is 54.

The square root of 9693680832 is about 98456.4920764497. The cubic root of 9693680832 is about 2132.2080177945.

The spelling of 9693680832 in words is "nine billion, six hundred ninety-three million, six hundred eighty thousand, eight hundred thirty-two".