66766104576 has 576 divisors, whose sum is σ = 220367347200. Its totient is φ = 20101644288.

The previous prime is 66766104571. The next prime is 66766104607. The reversal of 66766104576 is 67540166766.

It is a happy number.

66766104576 is a `hidden beast` number, since 6 + 6 + 7 + 6 + 61 + 0 + 4 + 576 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (66766104571) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 217479015 + ... + 217479321.

It is an arithmetic number, because the mean of its divisors is an integer number (382582200).

Almost surely, 2^66766104576 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 66766104576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110183673600).

66766104576 is an abundant number, since it is smaller than the sum of its proper divisors (153601242624).

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

66766104576 is a wasteful number, since it uses less digits than its factorization.

66766104576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 386 (or 354 counting only the distinct ones).

The product of its (nonzero) digits is 7620480, while the sum is 54.

The spelling of 66766104576 in words is "sixty-six billion, seven hundred sixty-six million, one hundred four thousand, five hundred seventy-six".