66766233600 has 1008 divisors, whose sum is σ = 270960402960. Its totient is φ = 15571353600.

The previous prime is 66766233581. The next prime is 66766233607. The reversal of 66766233600 is 633266766.

66766233600 is a `hidden beast` number, since 6 + 6 + 7 + 6 + 6 + 2 + 33 + 600 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66766233607) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 750182356 + ... + 750182444.

Almost surely, 2^66766233600 is an apocalyptic number.

66766233600 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 66766233600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135480201480).

66766233600 is an abundant number, since it is smaller than the sum of its proper divisors (204194169360).

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

66766233600 is a wasteful number, since it uses less digits than its factorization.

66766233600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 979776, while the sum is 45.

The spelling of 66766233600 in words is "sixty-six billion, seven hundred sixty-six million, two hundred thirty-three thousand, six hundred".