766442242244667 has 32 divisors (see below), whose sum is σ = 1059613409954880. Its totient is φ = 492198934169600.

The previous prime is 766442242244663. The next prime is 766442242244669.

It is a happy number.

766442242244667 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 766442242244667 - 2² = 766442242244663 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 766442242244598 and 766442242244607.

It is not an unprimeable number, because it can be changed into a prime (766442242244663) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 88568167 + ... + 96835967.

It is an arithmetic number, because the mean of its divisors is an integer number (33112919061090).

Almost surely, 2^{766442242244667} is an apocalyptic number.

766442242244667 is a deficient number, since it is larger than the sum of its proper divisors (293171167710213).

766442242244667 is a wasteful number, since it uses less digits than its factorization.

766442242244667 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8270303.

The product of its digits is 1040449536, while the sum is 66.

The spelling of 766442242244667 in words is "seven hundred sixty-six trillion, four hundred forty-two billion, two hundred forty-two million, two hundred forty-four thousand, six hundred sixty-seven".