664612263200 has 486 divisors, whose sum is σ = 1803875640273. Its totient is φ = 239069491200.

The previous prime is 664612263193. The next prime is 664612263209. The reversal of 664612263200 is 2362216466.

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 14 ways, for example, as 40960902544 + 623651360656 = 202388^2 + 789716^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=576460.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (664612263209) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 16210055180 + ... + 16210055220.

Almost surely, 2^664612263200 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 664612263200

664612263200 is an abundant number, since it is smaller than the sum of its proper divisors (1139263377073).

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

664612263200 is a wasteful number, since it uses less digits than its factorization.

664612263200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214 (or 104 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 38.

Adding to 664612263200 its reverse (2362216466), we get a palindrome (666974479666).

The spelling of 664612263200 in words is "six hundred sixty-four billion, six hundred twelve million, two hundred sixty-three thousand, two hundred".