9668562500 has 126 divisors (see below), whose sum is σ = 21929133366. Its totient is φ = 3729600000.

The previous prime is 9668562487. The next prime is 9668562529. The reversal of 9668562500 is 52658669.

It can be written as a sum of positive squares in 21 ways, for example, as 5756560384 + 3912002116 = 75872^2 + 62546^2 .

It is a super-2 number, since 2×9668562500² (a number of 21 digits) contains 22 as substring.

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 41 ways as a sum of consecutive naturals, for example, 85562444 + ... + 85562556.

It is an arithmetic number, because the mean of its divisors is an integer number (174040741).

Almost surely, 2^9668562500 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9668562500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10964566683).

9668562500 is an abundant number, since it is smaller than the sum of its proper divisors (12260570866).

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

9668562500 is an equidigital number, since it uses as much as digits as its factorization.

9668562500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 221 (or 157 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 47.

The square root of 9668562500 is about 98328.8487677955. The cubic root of 9668562500 is about 2130.3647607955.

The spelling of 9668562500 in words is "nine billion, six hundred sixty-eight million, five hundred sixty-two thousand, five hundred".