9649132900 has 243 divisors, whose sum is σ = 24818064537. Its totient is φ = 3253377600.

The previous prime is 9649132751. The next prime is 9649132907. The reversal of 9649132900 is 92319469.

The square root of 9649132900 is 98230.

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., 3473687844 + 6175445056 = 58938^2 + 78584^2 .

It is not an unprimeable number, because it can be changed into a prime (9649132907) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 205300677 + ... + 205300723.

Almost surely, 2^9649132900 is an apocalyptic number.

9649132900 is the 98230-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9649132900

9649132900 is an abundant number, since it is smaller than the sum of its proper divisors (15168931637).

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

9649132900 is a wasteful number, since it uses less digits than its factorization.

9649132900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 104976, while the sum is 43.

The cubic root of 9649132900 is about 2128.9367686862.

The spelling of 9649132900 in words is "nine billion, six hundred forty-nine million, one hundred thirty-two thousand, nine hundred".