66173410339968 has 256 divisors, whose sum is σ = 182289072792960. Its totient is φ = 21253603983360.

The previous prime is 66173410339943. The next prime is 66173410340017. The reversal of 66173410339968 is 86993301437166.

66173410339968 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 66173410339899 and 66173410339908.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5322394680 + ... + 5322407112.

Almost surely, 2^{66173410339968} 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 66173410339968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91144536396480).

66173410339968 is an abundant number, since it is smaller than the sum of its proper divisors (116115662452992).

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

66173410339968 is a wasteful number, since it uses less digits than its factorization.

66173410339968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16647 (or 16635 counting only the distinct ones).

The product of its (nonzero) digits is 105815808, while the sum is 66.

The spelling of 66173410339968 in words is "sixty-six trillion, one hundred seventy-three billion, four hundred ten million, three hundred thirty-nine thousand, nine hundred sixty-eight".