6847728001 has 9 divisors (see below), whose sum is σ = 6938183811. Its totient is φ = 6758439672.

The previous prime is 6847727951. The next prime is 6847728011. The reversal of 6847728001 is 1008277486.

The square root of 6847728001 is 82751.

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., 5894400625 + 953327376 = 76775^2 + 30876^2 .

It is not a de Polignac number, because 6847728001 - 2⁹ = 6847727489 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (6847728011) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 6867835 + ... + 6868831.

Almost surely, 2^6847728001 is an apocalyptic number.

6847728001 is the 82751-st square number.

6847728001 is the 41376-th centered octagonal number.

It is an amenable number.

6847728001 is a deficient number, since it is larger than the sum of its proper divisors (90455810).

6847728001 is an frugal number, since it uses more digits than its factorization.

6847728001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2160 (or 1080 counting only the distinct ones).

The product of its (nonzero) digits is 150528, while the sum is 43.

The cubic root of 6847728001 is about 1898.9586168606.

The spelling of 6847728001 in words is "six billion, eight hundred forty-seven million, seven hundred twenty-eight thousand, one".