66654360864000 has 5760 divisors, whose sum is σ = 326686116556800. Its totient is φ = 13103692185600.

The previous prime is 66654360863969. The next prime is 66654360864059. The reversal of 66654360864000 is 46806345666.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (5760).

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 639 ways as a sum of consecutive naturals, for example, 479527775931 + ... + 479527776069.

It is an arithmetic number, because the mean of its divisors is an integer number (56716339680).

Almost surely, 2^{66654360864000} is an apocalyptic number.

66654360864000 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 66654360864000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163343058278400).

66654360864000 is an abundant number, since it is smaller than the sum of its proper divisors (260031755692800).

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

66654360864000 is a wasteful number, since it uses less digits than its factorization.

66654360864000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 328 (or 295 counting only the distinct ones).

The product of its (nonzero) digits is 14929920, while the sum is 54.

The spelling of 66654360864000 in words is "sixty-six trillion, six hundred fifty-four billion, three hundred sixty million, eight hundred sixty-four thousand".