668010000 has 200 divisors, whose sum is σ = 2465260864. Its totient is φ = 152640000.

The previous prime is 668009989. The next prime is 668010011. The reversal of 668010000 is 10866.

It is an interprime number because it is at equal distance from previous prime (668009989) and next prime (668010011).

It is a tau number, because it is divible by the number of its divisors (200).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 208410 + ... + 211590.

Almost surely, 2^668010000 is an apocalyptic number.

668010000 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 668010000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1232630432).

668010000 is an abundant number, since it is smaller than the sum of its proper divisors (1797250864).

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

668010000 is a wasteful number, since it uses less digits than its factorization.

668010000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3219 (or 3198 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

The square root of 668010000 is about 25845.8894217243. The cubic root of 668010000 is about 874.1668259520.

Adding to 668010000 its reverse (10866), we get a palindrome (668020866).

The spelling of 668010000 in words is "six hundred sixty-eight million, ten thousand".