1666383264 has 432 divisors, whose sum is σ = 6033448512. Its totient is φ = 426995712.

The previous prime is 1666383263. The next prime is 1666383293. The reversal of 1666383264 is 4623836661.

1666383264 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1666383263) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 22827132 + ... + 22827204.

It is an arithmetic number, because the mean of its divisors is an integer number (13966316).

Almost surely, 2^1666383264 is an apocalyptic number.

1666383264 is a gapful number since it is divisible by the number (14) 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 1666383264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3016724256).

1666383264 is an abundant number, since it is smaller than the sum of its proper divisors (4367065248).

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

1666383264 is a wasteful number, since it uses less digits than its factorization.

1666383264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 189 (or 165 counting only the distinct ones).

The product of its digits is 746496, while the sum is 45.

The square root of 1666383264 is about 40821.3579391965. The cubic root of 1666383264 is about 1185.5638954841.

The spelling of 1666383264 in words is "one billion, six hundred sixty-six million, three hundred eighty-three thousand, two hundred sixty-four".