664042320 has 320 divisors, whose sum is σ = 2422702080. Its totient is φ = 166924800.

The previous prime is 664042303. The next prime is 664042369. The reversal of 664042320 is 23240466.

664042320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3147015 + ... + 3147225.

It is an arithmetic number, because the mean of its divisors is an integer number (7570944).

Almost surely, 2^664042320 is an apocalyptic number.

664042320 is a gapful number since it is divisible by the number (60) 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 664042320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1211351040).

664042320 is an abundant number, since it is smaller than the sum of its proper divisors (1758659760).

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

664042320 is a wasteful number, since it uses less digits than its factorization.

664042320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 311 (or 299 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

The square root of 664042320 is about 25769.0186076226. The cubic root of 664042320 is about 872.4326683180.

Adding to 664042320 its reverse (23240466), we get a palindrome (687282786).

The spelling of 664042320 in words is "six hundred sixty-four million, forty-two thousand, three hundred twenty".