6728100625 has 45 divisors (see below), whose sum is σ = 8977595781. Its totient is φ = 5039616000.

The previous prime is 6728100623. The next prime is 6728100637. The reversal of 6728100625 is 5260018276.

It is a happy number.

The square root of 6728100625 is 82025.

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

It can be written as a sum of positive squares in 22 ways, for example, as 6286428369 + 441672256 = 79287^2 + 21016^2 .

It is not a de Polignac number, because 6728100625 - 2¹ = 6728100623 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (6728100623) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 34860529 + ... + 34860721.

Almost surely, 2^6728100625 is an apocalyptic number.

6728100625 is the 82025-th square number.

6728100625 is the 41013-rd centered octagonal number.

It is an amenable number.

6728100625 is a deficient number, since it is larger than the sum of its proper divisors (2249495156).

6728100625 is an frugal number, since it uses more digits than its factorization.

6728100625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 440 (or 215 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 37.

The cubic root of 6728100625 is about 1887.8355469706.

The spelling of 6728100625 in words is "six billion, seven hundred twenty-eight million, one hundred thousand, six hundred twenty-five".