66134639980800 has 1080 divisors, whose sum is σ = 257030473746816. Its totient is φ = 16745579642880.

The previous prime is 66134639980727. The next prime is 66134639980807. The reversal of 66134639980800 is 808993643166.

66134639980800 is a `hidden beast` number, since 6 + 6 + 1 + 3 + 463 + 9 + 98 + 0 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1080).

It is not an unprimeable number, because it can be changed into a prime (66134639980807) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 1633458157 + ... + 1633498643.

Almost surely, 2^{66134639980800} is an apocalyptic number.

66134639980800 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 66134639980800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128515236873408).

66134639980800 is an abundant number, since it is smaller than the sum of its proper divisors (190895833766016).

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

66134639980800 is a wasteful number, since it uses less digits than its factorization.

66134639980800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40685 (or 40657 counting only the distinct ones).

The product of its (nonzero) digits is 40310784, while the sum is 63.

The spelling of 66134639980800 in words is "sixty-six trillion, one hundred thirty-four billion, six hundred thirty-nine million, nine hundred eighty thousand, eight hundred".