66008689295360 has 960 divisors, whose sum is σ = 191674682035200. Its totient is φ = 21346457223168.

The previous prime is 66008689295357. The next prime is 66008689295369. The reversal of 66008689295360 is 6359298680066.

It is not an unprimeable number, because it can be changed into a prime (66008689295369) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 152445009704 + ... + 152445010136.

It is an arithmetic number, because the mean of its divisors is an integer number (199661127120).

Almost surely, 2^{66008689295360} 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 66008689295360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95837341017600).

66008689295360 is an abundant number, since it is smaller than the sum of its proper divisors (125665992739840).

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

66008689295360 is a wasteful number, since it uses less digits than its factorization.

66008689295360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 694 (or 668 counting only the distinct ones).

The product of its (nonzero) digits is 201553920, while the sum is 68.

The spelling of 66008689295360 in words is "sixty-six trillion, eight billion, six hundred eighty-nine million, two hundred ninety-five thousand, three hundred sixty".