4665665664 has 512 divisors, whose sum is σ = 16074547200. Its totient is φ = 1318809600.

The previous prime is 4665665663. The next prime is 4665665677.

4665665664 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 4665665664.

It is not an unprimeable number, because it can be changed into a prime (4665665663) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 43604299 + ... + 43604405.

It is an arithmetic number, because the mean of its divisors is an integer number (31395600).

Almost surely, 2^4665665664 is an apocalyptic number.

4665665664 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 4665665664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8037273600).

4665665664 is an abundant number, since it is smaller than the sum of its proper divisors (11408881536).

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

4665665664 is a wasteful number, since it uses less digits than its factorization.

4665665664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 209 (or 191 counting only the distinct ones).

The product of its digits is 18662400, while the sum is 54.

The square root of 4665665664 is about 68305.6781241501. The cubic root of 4665665664 is about 1670.9798191916.

The spelling of 4665665664 in words is "four billion, six hundred sixty-five million, six hundred sixty-five thousand, six hundred sixty-four".