9677360400 has 120 divisors (see below), whose sum is σ = 32347721280. Its totient is φ = 2468421120.

The previous prime is 9677360393. The next prime is 9677360401. The reversal of 9677360400 is 40637769.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×9677360400² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (9677360401) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 147715 + ... + 202914.

It is an arithmetic number, because the mean of its divisors is an integer number (269564344).

Almost surely, 2^9677360400 is an apocalyptic number.

It is an amenable number.

9677360400 is an abundant number, since it is smaller than the sum of its proper divisors (22670360880).

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

9677360400 is a wasteful number, since it uses less digits than its factorization.

9677360400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 350673 (or 350662 counting only the distinct ones).

The product of its (nonzero) digits is 190512, while the sum is 42.

The square root of 9677360400 is about 98373.5757203122. The cubic root of 9677360400 is about 2131.0107394168.

The spelling of 9677360400 in words is "nine billion, six hundred seventy-seven million, three hundred sixty thousand, four hundred".