6443272900 has 81 divisors (see below), whose sum is σ = 14658242151. Its totient is φ = 2458188480.

The previous prime is 6443272897. The next prime is 6443272909. The reversal of 6443272900 is 92723446.

The square root of 6443272900 is 80270.

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 66292164 + 6376980736 = 8142^2 + 79856^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 6443272900.

It is not an unprimeable number, because it can be changed into a prime (6443272909) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 18461926 + ... + 18462274.

Almost surely, 2^6443272900 is an apocalyptic number.

6443272900 is the 80270-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6443272900

6443272900 is an abundant number, since it is smaller than the sum of its proper divisors (8214969251).

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

6443272900 is a wasteful number, since it uses less digits than its factorization.

6443272900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 758 (or 379 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 37.

The cubic root of 6443272900 is about 1860.8106171088.

The spelling of 6443272900 in words is "six billion, four hundred forty-three million, two hundred seventy-two thousand, nine hundred".