66282068304400 has 405 divisors, whose sum is σ = 174400370115327. Its totient is φ = 24197483980800.

The previous prime is 66282068304379. The next prime is 66282068304401. The reversal of 66282068304400 is 440386028266.

The square root of 66282068304400 is 8141380.

It is a perfect power (a square), and thus also a powerful number.

66282068304400 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 40 ways, for example, as 36631691017744 + 29650377286656 = 6052412^2 + 5445216^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (66282068304401) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 366199272310 + ... + 366199272490.

Almost surely, 2^{66282068304400} is an apocalyptic number.

66282068304400 is the 8141380-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66282068304400

66282068304400 is an abundant number, since it is smaller than the sum of its proper divisors (108118301810927).

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

66282068304400 is a wasteful number, since it uses less digits than its factorization.

66282068304400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 752 (or 374 counting only the distinct ones).

The product of its (nonzero) digits is 2654208, while the sum is 49.

The spelling of 66282068304400 in words is "sixty-six trillion, two hundred eighty-two billion, sixty-eight million, three hundred four thousand, four hundred".