66884894208000 has 3328 divisors, whose sum is σ = 282716351723520. Its totient is φ = 15458107392000.

The previous prime is 66884894207993. The next prime is 66884894208029. The reversal of 66884894208000 is 80249848866.

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, 346553855904 + ... + 346553856096.

It is an arithmetic number, because the mean of its divisors is an integer number (84950826840).

Almost surely, 2^{66884894208000} is an apocalyptic number.

66884894208000 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 66884894208000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141358175861760).

66884894208000 is an abundant number, since it is smaller than the sum of its proper divisors (215831457515520).

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

66884894208000 is a wasteful number, since it uses less digits than its factorization.

66884894208000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 348 (or 310 counting only the distinct ones).

The product of its (nonzero) digits is 42467328, while the sum is 63.

The spelling of 66884894208000 in words is "sixty-six trillion, eight hundred eighty-four billion, eight hundred ninety-four million, two hundred eight thousand".