664608672 has 384 divisors, whose sum is σ = 2438553600. Its totient is φ = 171445248.

The previous prime is 664608661. The next prime is 664608673. The reversal of 664608672 is 276806466.

It is not an unprimeable number, because it can be changed into a prime (664608673) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6211243 + ... + 6211349.

It is an arithmetic number, because the mean of its divisors is an integer number (6350400).

Almost surely, 2^664608672 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 664608672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1219276800).

664608672 is an abundant number, since it is smaller than the sum of its proper divisors (1773944928).

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

664608672 is a wasteful number, since it uses less digits than its factorization.

664608672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 225 (or 211 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The square root of 664608672 is about 25780.0052754068. The cubic root of 664608672 is about 872.6806262000.

The spelling of 664608672 in words is "six hundred sixty-four million, six hundred eight thousand, six hundred seventy-two".