7566075735761 has 2 divisors, whose sum is σ = 7566075735762. Its totient is φ = 7566075735760.

The previous prime is 7566075735703. The next prime is 7566075735817. The reversal of 7566075735761 is 1675375706657.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 6116594580625 + 1449481155136 = 2473175^2 + 1203944^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-7566075735761 is a prime.

It is not a weakly prime, because it can be changed into another prime (7566075735461) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 3783037867880 + 3783037867881.

It is an arithmetic number, because the mean of its divisors is an integer number (3783037867881).

Almost surely, 2^{7566075735761} is an apocalyptic number.

It is an amenable number.

7566075735761 is a deficient number, since it is larger than the sum of its proper divisors (1).

7566075735761 is an equidigital number, since it uses as much as digits as its factorization.

7566075735761 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 194481000, while the sum is 65.

The spelling of 7566075735761 in words is "seven trillion, five hundred sixty-six billion, seventy-five million, seven hundred thirty-five thousand, seven hundred sixty-one".