766065242560667 has 16 divisors (see below), whose sum is σ = 881083181491392. Its totient is φ = 652442349536640.

The previous prime is 766065242560621. The next prime is 766065242560679.

766065242560667 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 766065242560667 - 2¹² = 766065242556571 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 766065242560597 and 766065242560606.

It is not an unprimeable number, because it can be changed into a prime (766065242560067) 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, 296513117 + ... + 299085537.

It is an arithmetic number, because the mean of its divisors is an integer number (55067698843212).

Almost surely, 2^{766065242560667} is an apocalyptic number.

766065242560667 is a deficient number, since it is larger than the sum of its proper divisors (115017938930725).

766065242560667 is a wasteful number, since it uses less digits than its factorization.

766065242560667 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2843558.

The product of its (nonzero) digits is 914457600, while the sum is 68.

The spelling of 766065242560667 in words is "seven hundred sixty-six trillion, sixty-five billion, two hundred forty-two million, five hundred sixty thousand, six hundred sixty-seven".