664605315072 has 312 divisors, whose sum is σ = 2008265972544. Its totient is φ = 211368148992.

The previous prime is 664605315029. The next prime is 664605315079. The reversal of 664605315072 is 270513506466.

664605315072 is a `hidden beast` number, since 6 + 6 + 4 + 60 + 531 + 50 + 7 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (664605315079) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 463785268 + ... + 463786700.

It is an arithmetic number, because the mean of its divisors is an integer number (6436749912).

Almost surely, 2^664605315072 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 664605315072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1004132986272).

664605315072 is an abundant number, since it is smaller than the sum of its proper divisors (1343660657472).

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

664605315072 is a wasteful number, since it uses less digits than its factorization.

664605315072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2033 (or 2008 counting only the distinct ones).

The product of its (nonzero) digits is 907200, while the sum is 45.

The spelling of 664605315072 in words is "six hundred sixty-four billion, six hundred five million, three hundred fifteen thousand, seventy-two".