66711965760 has 504 divisors, whose sum is σ = 267077924568. Its totient is φ = 15219916800.

The previous prime is 66711965753. The next prime is 66711965809. The reversal of 66711965760 is 6756911766.

66711965760 is a `hidden beast` number, since 6 + 67 + 1 + 1 + 9 + 6 + 576 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 35331969024 + 31379996736 = 187968^2 + 177144^2 .

It is a junction number, because it is equal to n+sod(n) for n = 66711965697 and 66711965706.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5918530 + ... + 5929790.

It is an arithmetic number, because the mean of its divisors is an integer number (529916517).

Almost surely, 2^66711965760 is an apocalyptic number.

66711965760 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 66711965760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133538962284).

66711965760 is an abundant number, since it is smaller than the sum of its proper divisors (200365958808).

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

66711965760 is a wasteful number, since it uses less digits than its factorization.

66711965760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11323 (or 11299 counting only the distinct ones).

The product of its (nonzero) digits is 2857680, while the sum is 54.

The spelling of 66711965760 in words is "sixty-six billion, seven hundred eleven million, nine hundred sixty-five thousand, seven hundred sixty".