9688882400 has 36 divisors (see below), whose sum is σ = 23652986112. Its totient is φ = 3875552640.

The previous prime is 9688882393. The next prime is 9688882481. The reversal of 9688882400 is 42888869.

It is a super-2 number, since 2×9688882400² (a number of 21 digits) contains 22 as substring.

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 5 ways as a sum of consecutive naturals, for example, 6054752 + ... + 6056351.

It is an arithmetic number, because the mean of its divisors is an integer number (657027392).

Almost surely, 2^9688882400 is an apocalyptic number.

It is an amenable number.

9688882400 is an abundant number, since it is smaller than the sum of its proper divisors (13964103712).

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

9688882400 is a wasteful number, since it uses less digits than its factorization.

9688882400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12111123 (or 12111110 counting only the distinct ones).

The product of its (nonzero) digits is 1769472, while the sum is 53.

The square root of 9688882400 is about 98432.1207736580. The cubic root of 9688882400 is about 2131.8561410065.

The spelling of 9688882400 in words is "nine billion, six hundred eighty-eight million, eight hundred eighty-two thousand, four hundred".