4668658568664 has 128 divisors (see below), whose sum is σ = 11957118912000. Its totient is φ = 1518630681600.

The previous prime is 4668658568603. The next prime is 4668658568681.

It is a happy number.

4668658568664 is nontrivially palindromic in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 4668658568664.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 273028387 + ... + 273045485.

It is an arithmetic number, because the mean of its divisors is an integer number (93414991500).

Almost surely, 2^{4668658568664} is an apocalyptic number.

It is an amenable number.

4668658568664 is an abundant number, since it is smaller than the sum of its proper divisors (7288460343336).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4668658568664 is a wasteful number, since it uses less digits than its factorization.

4668658568664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18825 (or 18821 counting only the distinct ones).

The product of its digits is 9555148800, while the sum is 78.

The spelling of 4668658568664 in words is "four trillion, six hundred sixty-eight billion, six hundred fifty-eight million, five hundred sixty-eight thousand, six hundred sixty-four".