1268004566721 has 16 divisors (see below), whose sum is σ = 1780522552640. Its totient is φ = 800454830400.

The previous prime is 1268004566677. The next prime is 1268004566737. The reversal of 1268004566721 is 1276654008621.

It is not a de Polignac number, because 1268004566721 - 2⁹ = 1268004566209 is a prime.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1268004526721) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5300830 + ... + 5534871.

It is an arithmetic number, because the mean of its divisors is an integer number (111282659540).

Almost surely, 2^{1268004566721} is an apocalyptic number.

It is an amenable number.

1268004566721 is a deficient number, since it is larger than the sum of its proper divisors (512517985919).

1268004566721 is a wasteful number, since it uses less digits than its factorization.

1268004566721 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10837776.

The product of its (nonzero) digits is 967680, while the sum is 48.

The spelling of 1268004566721 in words is "one trillion, two hundred sixty-eight billion, four million, five hundred sixty-six thousand, seven hundred twenty-one".