66344940864000 has 960 divisors, whose sum is σ = 249255032906880. Its totient is φ = 17589005107200.

The previous prime is 66344940863989. The next prime is 66344940864023. The reversal of 66344940864000 is 46804944366.

It is a happy number.

66344940864000 is a `hidden beast` number, since 6 + 6 + 34 + 494 + 0 + 86 + 40 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2690483671 + ... + 2690508329.

It is an arithmetic number, because the mean of its divisors is an integer number (259640659278).

Almost surely, 2^{66344940864000} is an apocalyptic number.

66344940864000 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 66344940864000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124627516453440).

66344940864000 is an abundant number, since it is smaller than the sum of its proper divisors (182910092042880).

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

66344940864000 is an equidigital number, since it uses as much as digits as its factorization.

66344940864000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24880 (or 24842 counting only the distinct ones).

The product of its (nonzero) digits is 11943936, while the sum is 54.

The spelling of 66344940864000 in words is "sixty-six trillion, three hundred forty-four billion, nine hundred forty million, eight hundred sixty-four thousand".