664342256736 has 288 divisors, whose sum is σ = 2025780775200. Its totient is φ = 214002487296.

The previous prime is 664342256729. The next prime is 664342256779. The reversal of 664342256736 is 637652243466.

664342256736 is a `hidden beast` number, since 6 + 6 + 4 + 3 + 42 + 2 + 567 + 36 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 42861340 + ... + 42876836.

It is an arithmetic number, because the mean of its divisors is an integer number (7033961025).

Almost surely, 2^664342256736 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 664342256736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1012890387600).

664342256736 is an abundant number, since it is smaller than the sum of its proper divisors (1361438518464).

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

664342256736 is a wasteful number, since it uses less digits than its factorization.

664342256736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15708 (or 15688 counting only the distinct ones).

The product of its digits is 26127360, while the sum is 54.

The spelling of 664342256736 in words is "six hundred sixty-four billion, three hundred forty-two million, two hundred fifty-six thousand, seven hundred thirty-six".