664941312 has 252 divisors, whose sum is σ = 2278773840. Its totient is φ = 189609984.

The previous prime is 664941307. The next prime is 664941313. The reversal of 664941312 is 213149466.

664941312 is a `hidden beast` number, since 6 + 649 + 4 + 1 + 3 + 1 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (252).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is not an unprimeable number, because it can be changed into a prime (664941313) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 1306114 + ... + 1306622.

Almost surely, 2^664941312 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 664941312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1139386920).

664941312 is an abundant number, since it is smaller than the sum of its proper divisors (1613832528).

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

664941312 is an frugal number, since it uses more digits than its factorization.

664941312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 550 (or 521 counting only the distinct ones).

The product of its digits is 31104, while the sum is 36.

The square root of 664941312 is about 25786.4559798356. The cubic root of 664941312 is about 872.8261956049.

It can be divided in two parts, 6649 and 41312, that added together give a square (47961 = 219²).

The spelling of 664941312 in words is "six hundred sixty-four million, nine hundred forty-one thousand, three hundred twelve".