664220328200 has 540 divisors, whose sum is σ = 1900151321985. Its totient is φ = 215762976000.

The previous prime is 664220328199. The next prime is 664220328203. The reversal of 664220328200 is 2823022466.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 8 ways, for example, as 422429802916 + 241790525284 = 649946^2 + 491722^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=576290.

It is not an unprimeable number, because it can be changed into a prime (664220328203) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 21426462185 + ... + 21426462215.

Almost surely, 2^664220328200 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 664220328200

664220328200 is an abundant number, since it is smaller than the sum of its proper divisors (1235930993785).

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

664220328200 is a wasteful number, since it uses less digits than its factorization.

664220328200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152 (or 62 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 35.

The spelling of 664220328200 in words is "six hundred sixty-four billion, two hundred twenty million, three hundred twenty-eight thousand, two hundred".