4668424248664 has 96 divisors (see below), whose sum is σ = 9731227151520. Its totient is φ = 2097849600000.

The previous prime is 4668424248647. The next prime is 4668424248727.

4668424248664 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 4668424248596 and 4668424248605.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 65762389 + ... + 65833339.

It is an arithmetic number, because the mean of its divisors is an integer number (101366949495).

Almost surely, 2^{4668424248664} is an apocalyptic number.

4668424248664 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 4668424248664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4865613575760).

4668424248664 is an abundant number, since it is smaller than the sum of its proper divisors (5062802902856).

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

4668424248664 is a wasteful number, since it uses less digits than its factorization.

4668424248664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71753 (or 71738 counting only the distinct ones).

The product of its digits is 339738624, while the sum is 64.

The spelling of 4668424248664 in words is "four trillion, six hundred sixty-eight billion, four hundred twenty-four million, two hundred forty-eight thousand, six hundred sixty-four".