67028727137 has 2 divisors, whose sum is σ = 67028727138. Its totient is φ = 67028727136.

The previous prime is 67028727119. The next prime is 67028727149. The reversal of 67028727137 is 73172782076.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 40378491136 + 26650236001 = 200944^2 + 163249^2 .

It is a cyclic number.

It is not a de Polignac number, because 67028727137 - 2¹⁴ = 67028710753 is a prime.

It is not a weakly prime, because it can be changed into another prime (67028727197) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 33514363568 + 33514363569.

It is an arithmetic number, because the mean of its divisors is an integer number (33514363569).

Almost surely, 2^67028727137 is an apocalyptic number.

It is an amenable number.

67028727137 is a deficient number, since it is larger than the sum of its proper divisors (1).

67028727137 is an equidigital number, since it uses as much as digits as its factorization.

67028727137 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1382976, while the sum is 50.

The spelling of 67028727137 in words is "sixty-seven billion, twenty-eight million, seven hundred twenty-seven thousand, one hundred thirty-seven".