664824000312 has 384 divisors, whose sum is σ = 2024347852800. Its totient is φ = 196101771264.

The previous prime is 664824000311. The next prime is 664824000319. The reversal of 664824000312 is 213000428466.

664824000312 is a `hidden beast` number, since 6 + 648 + 2 + 4 + 0 + 0 + 0 + 3 + 1 + 2 = 666.

664824000312 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (664824000311) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 372032683 + ... + 372034469.

It is an arithmetic number, because the mean of its divisors is an integer number (5271739200).

Almost surely, 2^664824000312 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 664824000312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1012173926400).

664824000312 is an abundant number, since it is smaller than the sum of its proper divisors (1359523852488).

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

664824000312 is a wasteful number, since it uses less digits than its factorization.

664824000312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2115 (or 2108 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

Adding to 664824000312 its reverse (213000428466), we get a palindrome (877824428778).

The spelling of 664824000312 in words is "six hundred sixty-four billion, eight hundred twenty-four million, three hundred twelve", and thus it is an aban number.