664120800 has 216 divisors, whose sum is σ = 2676609936. Its totient is φ = 151787520.

The previous prime is 664120777. The next prime is 664120867. The reversal of 664120800 is 8021466.

It is a congruent number.

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, 43812 + ... + 56988.

Almost surely, 2^664120800 is an apocalyptic number.

664120800 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 664120800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1338304968).

664120800 is an abundant number, since it is smaller than the sum of its proper divisors (2012489136).

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

664120800 is a wasteful number, since it uses less digits than its factorization.

664120800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13210 (or 13194 counting only the distinct ones).

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

The square root of 664120800 is about 25770.5413214391. The cubic root of 664120800 is about 872.4670365184.

The spelling of 664120800 in words is "six hundred sixty-four million, one hundred twenty thousand, eight hundred".