6728582634901 has 2 divisors, whose sum is σ = 6728582634902. Its totient is φ = 6728582634900.

The previous prime is 6728582634791. The next prime is 6728582634923. The reversal of 6728582634901 is 1094362858276.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 6710555544676 + 18027090225 = 2590474^2 + 134265^2 .

It is a cyclic number.

It is not a de Polignac number, because 6728582634901 - 2¹³ = 6728582626709 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 6728582634901.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (6728582634931) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 3364291317450 + 3364291317451.

It is an arithmetic number, because the mean of its divisors is an integer number (3364291317451).

It is a 2-persistent number, because it is pandigital, and so is 2⋅6728582634901 = 13457165269802, but 3⋅6728582634901 = 20185747904703 is not.

Almost surely, 2^{6728582634901} is an apocalyptic number.

It is an amenable number.

6728582634901 is a deficient number, since it is larger than the sum of its proper divisors (1).

6728582634901 is an equidigital number, since it uses as much as digits as its factorization.

6728582634901 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 34836480, while the sum is 61.

The spelling of 6728582634901 in words is "six trillion, seven hundred twenty-eight billion, five hundred eighty-two million, six hundred thirty-four thousand, nine hundred one".