664381200 has 180 divisors, whose sum is σ = 2475920400. Its totient is φ = 151845120.

The previous prime is 664381171. The next prime is 664381217. The reversal of 664381200 is 2183466.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 53151 + ... + 64449.

Almost surely, 2^664381200 is an apocalyptic number.

664381200 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 664381200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1237960200).

664381200 is an abundant number, since it is smaller than the sum of its proper divisors (1811539200).

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

664381200 is a wasteful number, since it uses less digits than its factorization.

664381200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11334 (or 11316 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 664381200 is about 25775.5931066581. The cubic root of 664381200 is about 872.5810522864.

The spelling of 664381200 in words is "six hundred sixty-four million, three hundred eighty-one thousand, two hundred".