66746065305600 has 900 divisors, whose sum is σ = 248669523194400. Its totient is φ = 17697940439040.

The previous prime is 66746065305599. The next prime is 66746065305611. The reversal of 66746065305600 is 650356064766.

66746065305600 is a `hidden beast` number, since 6 + 6 + 7 + 46 + 0 + 6 + 5 + 30 + 560 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (900).

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 59 ways as a sum of consecutive naturals, for example, 5938784781 + ... + 5938796019.

It is an arithmetic number, because the mean of its divisors is an integer number (276299470216).

Almost surely, 2^{66746065305600} is an apocalyptic number.

66746065305600 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 66746065305600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124334761597200).

66746065305600 is an abundant number, since it is smaller than the sum of its proper divisors (181923457888800).

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

66746065305600 is a wasteful number, since it uses less digits than its factorization.

66746065305600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11468 (or 11428 counting only the distinct ones).

The product of its (nonzero) digits is 16329600, while the sum is 54.

The spelling of 66746065305600 in words is "sixty-six trillion, seven hundred forty-six billion, sixty-five million, three hundred five thousand, six hundred".