66107791863360 has 560 divisors, whose sum is σ = 256091626652400. Its totient is φ = 16089840746496.

The previous prime is 66107791863353. The next prime is 66107791863361. The reversal of 66107791863360 is 6336819770166.

66107791863360 is a `hidden beast` number, since 6 + 6 + 107 + 7 + 91 + 86 + 3 + 360 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 16698926490624 + 49408865372736 = 4086432^2 + 7029144^2 .

It is not an unprimeable number, because it can be changed into a prime (66107791863361) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 28887256 + ... + 31091624.

It is an arithmetic number, because the mean of its divisors is an integer number (457306476165).

Almost surely, 2^{66107791863360} is an apocalyptic number.

66107791863360 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 66107791863360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128045813326200).

66107791863360 is an abundant number, since it is smaller than the sum of its proper divisors (189983834789040).

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

66107791863360 is a wasteful number, since it uses less digits than its factorization.

66107791863360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2204500 (or 2204481 counting only the distinct ones).

The product of its (nonzero) digits is 41150592, while the sum is 63.

The spelling of 66107791863360 in words is "sixty-six trillion, one hundred seven billion, seven hundred ninety-one million, eight hundred sixty-three thousand, three hundred sixty".