1268627665761 has 16 divisors (see below), whose sum is σ = 1884487144320. Its totient is φ = 843484339440.

The previous prime is 1268627665691. The next prime is 1268627665771. The reversal of 1268627665761 is 1675667268621.

It is not a de Polignac number, because 1268627665761 - 2²⁹ = 1268090794849 is a prime.

It is a super-3 number, since 3×1268627665761³ (a number of 37 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (1268627665771) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 62974125 + ... + 62994266.

It is an arithmetic number, because the mean of its divisors is an integer number (117780446520).

Almost surely, 2^{1268627665761} is an apocalyptic number.

It is an amenable number.

1268627665761 is a deficient number, since it is larger than the sum of its proper divisors (615859478559).

1268627665761 is a wasteful number, since it uses less digits than its factorization.

1268627665761 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125968773 (or 125968767 counting only the distinct ones).

The product of its digits is 60963840, while the sum is 63.

The spelling of 1268627665761 in words is "one trillion, two hundred sixty-eight billion, six hundred twenty-seven million, six hundred sixty-five thousand, seven hundred sixty-one".