4667442447664 has 20 divisors (see below), whose sum is σ = 9043273121800. Its totient is φ = 2333694545280.

The previous prime is 4667442447599. The next prime is 4667442447713.

4667442447664 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×4667442447664² (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 4667442447596 and 4667442447605.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 184077 + ... + 3060844.

It is an arithmetic number, because the mean of its divisors is an integer number (452163656090).

Almost surely, 2^{4667442447664} is an apocalyptic number.

It is an amenable number.

4667442447664 is a deficient number, since it is larger than the sum of its proper divisors (4375830674136).

4667442447664 is a wasteful number, since it uses less digits than its factorization.

4667442447664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3334828 (or 3334822 counting only the distinct ones).

The product of its digits is 520224768, while the sum is 64.

The spelling of 4667442447664 in words is "four trillion, six hundred sixty-seven billion, four hundred forty-two million, four hundred forty-seven thousand, six hundred sixty-four".