8666723844900 has 405 divisors, whose sum is σ = 29918606255265. Its totient is φ = 2098433304000.

The previous prime is 8666723844893. The next prime is 8666723844901. The reversal of 8666723844900 is 94483276668.

The square root of 8666723844900 is 2943930.

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., 3120020584164 + 5546703260736 = 1766358^2 + 2355144^2 .

It is a super-2 number, since 2×8666723844900² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (8666723844901) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 10686465495 + ... + 10686466305.

Almost surely, 2^{8666723844900} is an apocalyptic number.

8666723844900 is the 2943930-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8666723844900

8666723844900 is an abundant number, since it is smaller than the sum of its proper divisors (21251882410365).

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

8666723844900 is an equidigital number, since it uses as much as digits as its factorization.

8666723844900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1686 (or 832 counting only the distinct ones).

The product of its (nonzero) digits is 83607552, while the sum is 63.

The spelling of 8666723844900 in words is "eight trillion, six hundred sixty-six billion, seven hundred twenty-three million, eight hundred forty-four thousand, nine hundred".