667145969541766 has 32 divisors (see below), whose sum is σ = 1186657388921088. Its totient is φ = 277305298091040.

The previous prime is 667145969541763. The next prime is 667145969541803.

667145969541766 is nontrivially palindromic in base 10.

It is a super-3 number, since 3×667145969541766³ (a number of 45 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 667145969541766.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (667145969541763) 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, 10900334890 + ... + 10900396093.

It is an arithmetic number, because the mean of its divisors is an integer number (37083043403784).

Almost surely, 2^{667145969541766} is an apocalyptic number.

667145969541766 is a deficient number, since it is larger than the sum of its proper divisors (519511419379322).

667145969541766 is a wasteful number, since it uses less digits than its factorization.

667145969541766 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21800731116.

The product of its digits is 12345177600, while the sum is 82.

The spelling of 667145969541766 in words is "six hundred sixty-seven trillion, one hundred forty-five billion, nine hundred sixty-nine million, five hundred forty-one thousand, seven hundred sixty-six".