66347736883200 has 1008 divisors, whose sum is σ = 241863586823040. Its totient is φ = 17381134172160.

The previous prime is 66347736883171. The next prime is 66347736883223. The reversal of 66347736883200 is 238863774366.

66347736883200 is a `hidden beast` number, since 6 + 6 + 3 + 477 + 3 + 68 + 83 + 20 + 0 = 666.

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 71 ways as a sum of consecutive naturals, for example, 89780428431 + ... + 89780429169.

Almost surely, 2^{66347736883200} is an apocalyptic number.

66347736883200 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 66347736883200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120931793411520).

66347736883200 is an abundant number, since it is smaller than the sum of its proper divisors (175515849939840).

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

66347736883200 is a wasteful number, since it uses less digits than its factorization.

66347736883200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1575 (or 1543 counting only the distinct ones).

The product of its (nonzero) digits is 146313216, while the sum is 63.

The spelling of 66347736883200 in words is "sixty-six trillion, three hundred forty-seven billion, seven hundred thirty-six million, eight hundred eighty-three thousand, two hundred".