66264535584 has 576 divisors, whose sum is σ = 223082496000. Its totient is φ = 18475776000.

The previous prime is 66264535583. The next prime is 66264535613. The reversal of 66264535584 is 48553546266.

66264535584 is a `hidden beast` number, since 6 + 6 + 2 + 6 + 4 + 53 + 5 + 584 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 66264535584.

It is not an unprimeable number, because it can be changed into a prime (66264535583) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 332987517 + ... + 332987715.

It is an arithmetic number, because the mean of its divisors is an integer number (387296000).

Almost surely, 2^66264535584 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 66264535584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111541248000).

66264535584 is an abundant number, since it is smaller than the sum of its proper divisors (156817960416).

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

66264535584 is a wasteful number, since it uses less digits than its factorization.

66264535584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 429 (or 418 counting only the distinct ones).

The product of its digits is 20736000, while the sum is 54.

The spelling of 66264535584 in words is "sixty-six billion, two hundred sixty-four million, five hundred thirty-five thousand, five hundred eighty-four".