668424960000 has 1440 divisors, whose sum is σ = 2868448302720. Its totient is φ = 152285184000.

The previous prime is 668424959999. The next prime is 668424960013. The reversal of 668424960000 is 69424866.

It is a tau number, because it is divible by the number of its divisors (1440).

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

It is a nialpdrome in base 12.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 2177279847 + ... + 2177280153.

It is an arithmetic number, because the mean of its divisors is an integer number (1991977988).

Almost surely, 2^668424960000 is an apocalyptic number.

668424960000 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 668424960000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1434224151360).

668424960000 is an abundant number, since it is smaller than the sum of its proper divisors (2200023342720).

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

668424960000 is an frugal number, since it uses more digits than its factorization.

668424960000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 371 (or 324 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The spelling of 668424960000 in words is "six hundred sixty-eight billion, four hundred twenty-four million, nine hundred sixty thousand".