4668668664 has 64 divisors (see below), whose sum is σ = 12973011840. Its totient is φ = 1388050560.

The previous prime is 4668668663. The next prime is 4668668677.

It is a happy number.

4668668664 is nontrivially palindromic in base 10.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 4668668598 and 4668668607.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4668668663) 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, 152842 + ... + 180825.

It is an arithmetic number, because the mean of its divisors is an integer number (202703310).

Almost surely, 2^4668668664 is an apocalyptic number.

4668668664 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

4668668664 is an abundant number, since it is smaller than the sum of its proper divisors (8304343176).

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

4668668664 is a wasteful number, since it uses less digits than its factorization.

4668668664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 333740 (or 333736 counting only the distinct ones).

The product of its digits is 47775744, while the sum is 60.

The square root of 4668668664 is about 68327.6566552666. The cubic root of 4668668664 is about 1671.3382443740.

The spelling of 4668668664 in words is "four billion, six hundred sixty-eight million, six hundred sixty-eight thousand, six hundred sixty-four".