664282752 has 128 divisors (see below), whose sum is σ = 2135341440. Its totient is φ = 178618368.

The previous prime is 664282727. The next prime is 664282753. The reversal of 664282752 is 257282466.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-3 number, since 3×664282752³ (a number of 27 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (664282753) 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 15 ways as a sum of consecutive naturals, for example, 38428 + ... + 52964.

It is an arithmetic number, because the mean of its divisors is an integer number (16682355).

Almost surely, 2^664282752 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 664282752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1067670720).

664282752 is an abundant number, since it is smaller than the sum of its proper divisors (1471058688).

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

664282752 is a wasteful number, since it uses less digits than its factorization.

664282752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14578 (or 14566 counting only the distinct ones).

The product of its digits is 322560, while the sum is 42.

The square root of 664282752 is about 25773.6833223348. The cubic root of 664282752 is about 872.5379504734.

The spelling of 664282752 in words is "six hundred sixty-four million, two hundred eighty-two thousand, seven hundred fifty-two".