668153943000 has 768 divisors, whose sum is σ = 2468799590400. Its totient is φ = 162362880000.

The previous prime is 668153942993. The next prime is 668153943001. The reversal of 668153943000 is 349351866.

668153943000 is a `hidden beast` number, since 6 + 6 + 81 + 539 + 4 + 30 + 0 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (668153943001) by changing a digit.

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 191 ways as a sum of consecutive naturals, for example, 1277540739 + ... + 1277541261.

It is an arithmetic number, because the mean of its divisors is an integer number (3214582800).

Almost surely, 2^668153943000 is an apocalyptic number.

668153943000 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 668153943000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1234399795200).

668153943000 is an abundant number, since it is smaller than the sum of its proper divisors (1800645647400).

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

668153943000 is a wasteful number, since it uses less digits than its factorization.

668153943000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 841 (or 824 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The spelling of 668153943000 in words is "six hundred sixty-eight billion, one hundred fifty-three million, nine hundred forty-three thousand".