664411104 has 144 divisors (see below), whose sum is σ = 2175788160. Its totient is φ = 188386560.

The previous prime is 664411091. The next prime is 664411123. The reversal of 664411104 is 401114466.

664411104 is a `hidden beast` number, since 6 + 644 + 1 + 1 + 10 + 4 = 666.

664411104 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 279039 + ... + 281409.

It is an arithmetic number, because the mean of its divisors is an integer number (15109640).

Almost surely, 2^664411104 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 664411104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1087894080).

664411104 is an abundant number, since it is smaller than the sum of its proper divisors (1511377056).

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

664411104 is a wasteful number, since it uses less digits than its factorization.

664411104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2533 (or 2522 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 664411104 is about 25776.1731837757. The cubic root of 664411104 is about 872.5941438029.

The spelling of 664411104 in words is "six hundred sixty-four million, four hundred eleven thousand, one hundred four".