66558041012736 has 1440 divisors, whose sum is σ = 257179228225920. Its totient is φ = 16091587215360.

The previous prime is 66558041012719. The next prime is 66558041012741. The reversal of 66558041012736 is 63721014085566.

It is a happy number.

66558041012736 is a `hidden beast` number, since 6 + 6 + 5 + 580 + 4 + 1 + 0 + 1 + 27 + 36 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 7656505606 + ... + 7656514298.

It is an arithmetic number, because the mean of its divisors is an integer number (178596686268).

Almost surely, 2^{66558041012736} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66558041012736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128589614112960).

66558041012736 is an abundant number, since it is smaller than the sum of its proper divisors (190621187213184).

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

66558041012736 is a wasteful number, since it uses less digits than its factorization.

66558041012736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8818 (or 8768 counting only the distinct ones).

The product of its (nonzero) digits is 7257600, while the sum is 54.

The spelling of 66558041012736 in words is "sixty-six trillion, five hundred fifty-eight billion, forty-one million, twelve thousand, seven hundred thirty-six".