27764002512761 has 2 divisors, whose sum is σ = 27764002512762. Its totient is φ = 27764002512760.

The previous prime is 27764002512733. The next prime is 27764002512803. The reversal of 27764002512761 is 16721520046772.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 25260072883600 + 2503929629161 = 5025940^2 + 1582381^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-27764002512761 is a prime.

It is not a weakly prime, because it can be changed into another prime (27764002512061) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 13882001256380 + 13882001256381.

It is an arithmetic number, because the mean of its divisors is an integer number (13882001256381).

Almost surely, 2^{27764002512761} is an apocalyptic number.

It is an amenable number.

27764002512761 is a deficient number, since it is larger than the sum of its proper divisors (1).

27764002512761 is an equidigital number, since it uses as much as digits as its factorization.

27764002512761 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1975680, while the sum is 50.

The spelling of 27764002512761 in words is "twenty-seven trillion, seven hundred sixty-four billion, two million, five hundred twelve thousand, seven hundred sixty-one".