9688732416 has 216 divisors, whose sum is σ = 31053846096. Its totient is φ = 2880184320.

The previous prime is 9688732411. The next prime is 9688732433. The reversal of 9688732416 is 6142378869.

It is not an unprimeable number, because it can be changed into a prime (9688732411) 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 23 ways as a sum of consecutive naturals, for example, 1339626 + ... + 1346838.

It is an arithmetic number, because the mean of its divisors is an integer number (143767806).

Almost surely, 2^9688732416 is an apocalyptic number.

9688732416 is a gapful number since it is divisible by the number (96) 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 9688732416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15526923048).

9688732416 is an abundant number, since it is smaller than the sum of its proper divisors (21365113680).

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

9688732416 is a wasteful number, since it uses less digits than its factorization.

9688732416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7299 (or 7282 counting only the distinct ones).

The product of its digits is 3483648, while the sum is 54.

The square root of 9688732416 is about 98431.3589055846. The cubic root of 9688732416 is about 2131.8451405647.

The spelling of 9688732416 in words is "nine billion, six hundred eighty-eight million, seven hundred thirty-two thousand, four hundred sixteen".