27627633924773 has 2 divisors, whose sum is σ = 27627633924774. Its totient is φ = 27627633924772.

The previous prime is 27627633924707. The next prime is 27627633924797. The reversal of 27627633924773 is 37742933672672.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 26378105665444 + 1249528259329 = 5135962^2 + 1117823^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-27627633924773 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (27627633924673) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 13813816962386 + 13813816962387.

It is an arithmetic number, because the mean of its divisors is an integer number (13813816962387).

Almost surely, 2^{27627633924773} is an apocalyptic number.

It is an amenable number.

27627633924773 is a deficient number, since it is larger than the sum of its proper divisors (1).

27627633924773 is an equidigital number, since it uses as much as digits as its factorization.

27627633924773 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 672126336, while the sum is 68.

The spelling of 27627633924773 in words is "twenty-seven trillion, six hundred twenty-seven billion, six hundred thirty-three million, nine hundred twenty-four thousand, seven hundred seventy-three".