4688664668864 has 84 divisors (see below), whose sum is σ = 10328043569424. Its totient is φ = 2110109760000.

The previous prime is 4688664668861. The next prime is 4688664668881.

4688664668864 is nontrivially palindromic in base 10.

It is not an unprimeable number, because it can be changed into a prime (4688664668861) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2215172 + ... + 3779459.

It is an arithmetic number, because the mean of its divisors is an integer number (122952899636).

Almost surely, 2^{4688664668864} is an apocalyptic number.

4688664668864 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

4688664668864 is an abundant number, since it is smaller than the sum of its proper divisors (5639378900560).

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

4688664668864 is a wasteful number, since it uses less digits than its factorization.

4688664668864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5994766 (or 5994745 counting only the distinct ones).

The product of its digits is 12230590464, while the sum is 80.

The spelling of 4688664668864 in words is "four trillion, six hundred eighty-eight billion, six hundred sixty-four million, six hundred sixty-eight thousand, eight hundred sixty-four".