4666468646664 has 144 divisors (see below), whose sum is σ = 13908322209600. Its totient is φ = 1412393759040.

The previous prime is 4666468646647. The next prime is 4666468646683.

4666468646664 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (72).

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 = 4666468646592 and 4666468646601.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 6990157 + ... + 7628579.

It is an arithmetic number, because the mean of its divisors is an integer number (96585570900).

Almost surely, 2^{4666468646664} is an apocalyptic number.

4666468646664 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4666468646664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6954161104800).

4666468646664 is an abundant number, since it is smaller than the sum of its proper divisors (9241853562936).

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

4666468646664 is a wasteful number, since it uses less digits than its factorization.

4666468646664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 639296 (or 639278 counting only the distinct ones).

The product of its digits is 3439853568, while the sum is 72.

The spelling of 4666468646664 in words is "four trillion, six hundred sixty-six billion, four hundred sixty-eight million, six hundred forty-six thousand, six hundred sixty-four".