664313345610200 has 192 divisors, whose sum is σ = 1814885164602720. Its totient is φ = 222945232896000.

The previous prime is 664313345610143. The next prime is 664313345610203. The reversal of 664313345610200 is 2016543313466.

It is a super-2 number, since 2×664313345610200² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (664313345610203) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 153362120 + ... + 157634280.

Almost surely, 2^{664313345610200} 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 664313345610200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (907442582301360).

664313345610200 is an abundant number, since it is smaller than the sum of its proper divisors (1150571818992520).

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

664313345610200 is a wasteful number, since it uses less digits than its factorization.

664313345610200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4277638 (or 4277629 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 44.

Adding to 664313345610200 its reverse (2016543313466), we get a palindrome (666329888923666).

The spelling of 664313345610200 in words is "six hundred sixty-four trillion, three hundred thirteen billion, three hundred forty-five million, six hundred ten thousand, two hundred".