66580285417776 has 720 divisors, whose sum is σ = 217580742512640. Its totient is φ = 18938521405440.

The previous prime is 66580285417771. The next prime is 66580285417777. The reversal of 66580285417776 is 67771458208566.

66580285417776 is a `hidden beast` number, since 6 + 6 + 5 + 8 + 0 + 2 + 8 + 541 + 7 + 7 + 76 = 666.

66580285417776 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (66580285417771) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 3582079555 + ... + 3582098141.

It is an arithmetic number, because the mean of its divisors is an integer number (302195475712).

Almost surely, 2^{66580285417776} 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 66580285417776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108790371256320).

66580285417776 is an abundant number, since it is smaller than the sum of its proper divisors (151000457094864).

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

66580285417776 is a wasteful number, since it uses less digits than its factorization.

66580285417776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18834 (or 18812 counting only the distinct ones).

The product of its (nonzero) digits is 948326400, while the sum is 72.

The spelling of 66580285417776 in words is "sixty-six trillion, five hundred eighty billion, two hundred eighty-five million, four hundred seventeen thousand, seven hundred seventy-six".