668406816000 has 2880 divisors, whose sum is σ = 3300196483584. Its totient is φ = 130056192000.

The previous prime is 668406815987. The next prime is 668406816061. The reversal of 668406816000 is 618604866.

It is a tau number, because it is divible by the number of its divisors (2880).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 3392927902 + ... + 3392928098.

Almost surely, 2^668406816000 is an apocalyptic number.

668406816000 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 668406816000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1650098241792).

668406816000 is an abundant number, since it is smaller than the sum of its proper divisors (2631789667584).

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

668406816000 is a wasteful number, since it uses less digits than its factorization.

668406816000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 275 (or 242 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 668406816000 in words is "six hundred sixty-eight billion, four hundred six million, eight hundred sixteen thousand".