66339419904000 has 2688 divisors, whose sum is σ = 266947393003200. Its totient is φ = 16396635340800.

The previous prime is 66339419903987. The next prime is 66339419904041. The reversal of 66339419904000 is 40991493366.

66339419904000 is a `hidden beast` number, since 6 + 63 + 3 + 94 + 1 + 9 + 90 + 400 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 187930367824 + ... + 187930368176.

Almost surely, 2^{66339419904000} is an apocalyptic number.

66339419904000 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 66339419904000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133473696501600).

66339419904000 is an abundant number, since it is smaller than the sum of its proper divisors (200607973099200).

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

66339419904000 is an equidigital number, since it uses as much as digits as its factorization.

66339419904000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 480 (or 435 counting only the distinct ones).

The product of its (nonzero) digits is 3779136, while the sum is 54.

The spelling of 66339419904000 in words is "sixty-six trillion, three hundred thirty-nine billion, four hundred nineteen million, nine hundred four thousand".