8003727728641 has 2 divisors, whose sum is σ = 8003727728642. Its totient is φ = 8003727728640.

The previous prime is 8003727728627. The next prime is 8003727728687. The reversal of 8003727728641 is 1468277273008.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 7421924911041 + 581802817600 = 2724321^2 + 762760^2 .

It is a cyclic number.

It is not a de Polignac number, because 8003727728641 - 2²³ = 8003719340033 is a prime.

It is not a weakly prime, because it can be changed into another prime (8003727128641) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 4001863864320 + 4001863864321.

It is an arithmetic number, because the mean of its divisors is an integer number (4001863864321).

Almost surely, 2^{8003727728641} is an apocalyptic number.

It is an amenable number.

8003727728641 is a deficient number, since it is larger than the sum of its proper divisors (1).

8003727728641 is an equidigital number, since it uses as much as digits as its factorization.

8003727728641 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 6322176, while the sum is 55.

The spelling of 8003727728641 in words is "eight trillion, three billion, seven hundred twenty-seven million, seven hundred twenty-eight thousand, six hundred forty-one".