66583396800 has 1008 divisors, whose sum is σ = 264658998240. Its totient is φ = 15799418880.

The previous prime is 66583396793. The next prime is 66583396801. The reversal of 66583396800 is 869338566.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66583396801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 589233544 + ... + 589233656.

It is an arithmetic number, because the mean of its divisors is an integer number (262558530).

Almost surely, 2^66583396800 is an apocalyptic number.

66583396800 is a gapful number since it is divisible by the number (60) 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 66583396800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132329499120).

66583396800 is an abundant number, since it is smaller than the sum of its proper divisors (198075601440).

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

66583396800 is a wasteful number, since it uses less digits than its factorization.

66583396800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 270 (or 252 counting only the distinct ones).

The product of its (nonzero) digits is 5598720, while the sum is 54.

The spelling of 66583396800 in words is "sixty-six billion, five hundred eighty-three million, three hundred ninety-six thousand, eight hundred".