66867308668800 has 1152 divisors, whose sum is σ = 254034093456000. Its totient is φ = 16699880816640.

The previous prime is 66867308668759. The next prime is 66867308668813. The reversal of 66867308668800 is 886680376866.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (72).

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 143 ways as a sum of consecutive naturals, for example, 38584712734 + ... + 38584714466.

It is an arithmetic number, because the mean of its divisors is an integer number (220515706125).

Almost surely, 2^{66867308668800} is an apocalyptic number.

66867308668800 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 66867308668800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127017046728000).

66867308668800 is an abundant number, since it is smaller than the sum of its proper divisors (187166784787200).

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

66867308668800 is a wasteful number, since it uses less digits than its factorization.

66867308668800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2548 (or 2528 counting only the distinct ones).

The product of its (nonzero) digits is 668860416, while the sum is 72.

The spelling of 66867308668800 in words is "sixty-six trillion, eight hundred sixty-seven billion, three hundred eight million, six hundred sixty-eight thousand, eight hundred".