9668788900 has 27 divisors (see below), whose sum is σ = 20983405891. Its totient is φ = 3867122240.

The previous prime is 9668788873. The next prime is 9668788963. The reversal of 9668788900 is 98878669.

The square root of 9668788900 is 98330.

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

It can be written as a sum of positive squares in 4 ways, for example, as 141467236 + 9527321664 = 11894^2 + 97608^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 978384 + ... + 988216.

Almost surely, 2^9668788900 is an apocalyptic number.

9668788900 is the 98330-th square number.

It is an amenable number.

9668788900 is an abundant number, since it is smaller than the sum of its proper divisors (11314616991).

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

9668788900 is an frugal number, since it uses more digits than its factorization.

9668788900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19680 (or 9840 counting only the distinct ones).

The product of its (nonzero) digits is 10450944, while the sum is 61.

The cubic root of 9668788900 is about 2130.3813889419.

The spelling of 9668788900 in words is "nine billion, six hundred sixty-eight million, seven hundred eighty-eight thousand, nine hundred".