668492838000 has 1600 divisors, whose sum is σ = 2794255656192. Its totient is φ = 152733081600.

The previous prime is 668492837993. The next prime is 668492838011. The reversal of 668492838000 is 838294866.

668492838000 = 281³ + 282³ + ... + 1279³.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 1792205814 + ... + 1792206186.

Almost surely, 2^668492838000 is an apocalyptic number.

668492838000 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 668492838000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1397127828096).

668492838000 is an abundant number, since it is smaller than the sum of its proper divisors (2125762818192).

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

668492838000 is a wasteful number, since it uses less digits than its factorization.

668492838000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 481 (or 456 counting only the distinct ones).

The product of its (nonzero) digits is 3981312, while the sum is 54.

The spelling of 668492838000 in words is "six hundred sixty-eight billion, four hundred ninety-two million, eight hundred thirty-eight thousand".