664344443466 has 192 divisors, whose sum is σ = 1637124961920. Its totient is φ = 199538380800.

The previous prime is 664344443423. The next prime is 664344443507.

664344443466 is a `hidden beast` number, since 66 + 43 + 4 + 44 + 43 + 466 = 666.

664344443466 is nontrivially palindromic in base 10.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 576187146 + ... + 576188298.

It is an arithmetic number, because the mean of its divisors is an integer number (8526692510).

Almost surely, 2^664344443466 is an apocalyptic number.

664344443466 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 664344443466, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (818562480960).

664344443466 is an abundant number, since it is smaller than the sum of its proper divisors (972780518454).

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

664344443466 is a wasteful number, since it uses less digits than its factorization.

664344443466 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1890 (or 1873 counting only the distinct ones).

The product of its digits is 47775744, while the sum is 54.

The spelling of 664344443466 in words is "six hundred sixty-four billion, three hundred forty-four million, four hundred forty-three thousand, four hundred sixty-six".