9679129876900 has 81 divisors (see below), whose sum is σ = 23087540881153. Its totient is φ = 3519559146400.

The previous prime is 9679129876877. The next prime is 9679129876903. The reversal of 9679129876900 is 96789219769.

It is a happy number.

The square root of 9679129876900 is 3111130.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 3484486755684 + 6194643121216 = 1866678^2 + 2488904^2 .

It is a super-2 number, since 2×9679129876900² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (9679129876903) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 342210159 + ... + 342238441.

Almost surely, 2^{9679129876900} is an apocalyptic number.

9679129876900 is the 3111130-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9679129876900

9679129876900 is an abundant number, since it is smaller than the sum of its proper divisors (13408411004253).

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

9679129876900 is an equidigital number, since it uses as much as digits as its factorization.

9679129876900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56602 (or 28301 counting only the distinct ones).

The product of its (nonzero) digits is 185177664, while the sum is 73.

The spelling of 9679129876900 in words is "nine trillion, six hundred seventy-nine billion, one hundred twenty-nine million, eight hundred seventy-six thousand, nine hundred".