66282565824 has 378 divisors, whose sum is σ = 211031513420. Its totient is φ = 19834163712.

The previous prime is 66282565819. The next prime is 66282565829. The reversal of 66282565824 is 42856528266.

66282565824 is a `hidden beast` number, since 6 + 6 + 2 + 8 + 2 + 56 + 582 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (66282565819) and next prime (66282565829).

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (66282565829) by changing a digit.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 619463179 + ... + 619463285.

Almost surely, 2^66282565824 is an apocalyptic number.

66282565824 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66282565824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105515756710).

66282565824 is an abundant number, since it is smaller than the sum of its proper divisors (144748947596).

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

66282565824 is a wasteful number, since it uses less digits than its factorization.

66282565824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 297 (or 154 counting only the distinct ones).

The product of its digits is 11059200, while the sum is 54.

The spelling of 66282565824 in words is "sixty-six billion, two hundred eighty-two million, five hundred sixty-five thousand, eight hundred twenty-four".