4660566650664 has 128 divisors (see below), whose sum is σ = 11970527587200. Its totient is φ = 1511525657600.

The previous prime is 4660566650639. The next prime is 4660566650671.

4660566650664 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 4660566650598 and 4660566650607.

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, 642567262 + ... + 642574514.

It is an arithmetic number, because the mean of its divisors is an integer number (93519746775).

Almost surely, 2^{4660566650664} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4660566650664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5985263793600).

4660566650664 is an abundant number, since it is smaller than the sum of its proper divisors (7309960936536).

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

4660566650664 is a wasteful number, since it uses less digits than its factorization.

4660566650664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11915 (or 11911 counting only the distinct ones).

The product of its (nonzero) digits is 111974400, while the sum is 60.

The spelling of 4660566650664 in words is "four trillion, six hundred sixty billion, five hundred sixty-six million, six hundred fifty thousand, six hundred sixty-four".