668173142016 has 576 divisors, whose sum is σ = 2078536299840. Its totient is φ = 214274211840.

The previous prime is 668173141943. The next prime is 668173142029. The reversal of 668173142016 is 610241371866.

It is a tau number, because it is divible by the number of its divisors (576).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2412177270 + ... + 2412177546.

It is an arithmetic number, because the mean of its divisors is an integer number (3608569965).

Almost surely, 2^668173142016 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 668173142016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1039268149920).

668173142016 is an abundant number, since it is smaller than the sum of its proper divisors (1410363157824).

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

668173142016 is a wasteful number, since it uses less digits than its factorization.

668173142016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 482 (or 450 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 668173142016 in words is "six hundred sixty-eight billion, one hundred seventy-three million, one hundred forty-two thousand, sixteen".