2760757827761 has 2 divisors, whose sum is σ = 2760757827762. Its totient is φ = 2760757827760.

The previous prime is 2760757827719. The next prime is 2760757827769. The reversal of 2760757827761 is 1677287570672.

2760757827761 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2565583841536 + 195173986225 = 1601744^2 + 441785^2 .

It is a cyclic number.

It is not a de Polignac number, because 2760757827761 - 2¹⁴ = 2760757811377 is a prime.

It is not a weakly prime, because it can be changed into another prime (2760757827769) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1380378913880 + 1380378913881.

It is an arithmetic number, because the mean of its divisors is an integer number (1380378913881).

Almost surely, 2^{2760757827761} is an apocalyptic number.

It is an amenable number.

2760757827761 is a deficient number, since it is larger than the sum of its proper divisors (1).

2760757827761 is an equidigital number, since it uses as much as digits as its factorization.

2760757827761 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 96808320, while the sum is 65.

The spelling of 2760757827761 in words is "two trillion, seven hundred sixty billion, seven hundred fifty-seven million, eight hundred twenty-seven thousand, seven hundred sixty-one".