27864736542767 has 2 divisors, whose sum is σ = 27864736542768. Its totient is φ = 27864736542766.

The previous prime is 27864736542691. The next prime is 27864736542821. The reversal of 27864736542767 is 76724563746872.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 27864736542767 - 2²⁶ = 27864669433903 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 27864736542694 and 27864736542703.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (27864736242767) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 13932368271383 + 13932368271384.

It is an arithmetic number, because the mean of its divisors is an integer number (13932368271384).

Almost surely, 2^{27864736542767} is an apocalyptic number.

27864736542767 is a deficient number, since it is larger than the sum of its proper divisors (1).

27864736542767 is an equidigital number, since it uses as much as digits as its factorization.

27864736542767 is an evil number, because the sum of its binary digits is even.

The product of its digits is 3982970880, while the sum is 74.

The spelling of 27864736542767 in words is "twenty-seven trillion, eight hundred sixty-four billion, seven hundred thirty-six million, five hundred forty-two thousand, seven hundred sixty-seven".