66799143936000 has 3584 divisors, whose sum is σ = 303843679027200. Its totient is φ = 14133126758400.

The previous prime is 66799143935929. The next prime is 66799143936023. The reversal of 66799143936000 is 63934199766.

66799143936000 is a `hidden beast` number, since 6 + 6 + 7 + 9 + 9 + 14 + 3 + 9 + 3 + 600 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3584).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

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 255 ways as a sum of consecutive naturals, for example, 259918847872 + ... + 259918848128.

Almost surely, 2^{66799143936000} is an apocalyptic number.

66799143936000 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 66799143936000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151921839513600).

66799143936000 is an abundant number, since it is smaller than the sum of its proper divisors (237044535091200).

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

66799143936000 is a wasteful number, since it uses less digits than its factorization.

66799143936000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 410 (or 370 counting only the distinct ones).

The product of its (nonzero) digits is 39680928, while the sum is 63.

The spelling of 66799143936000 in words is "sixty-six trillion, seven hundred ninety-nine billion, one hundred forty-three million, nine hundred thirty-six thousand".