1668351006 has 96 divisors (see below), whose sum is σ = 4296434688. Its totient is φ = 475308000.

The previous prime is 1668351001. The next prime is 1668351011. The reversal of 1668351006 is 6001538661.

It is a happy number.

1668351006 is a `hidden beast` number, since 1 + 66 + 83 + 510 + 0 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (1668351001) and next prime (1668351011).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1668351001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2221131 + ... + 2221881.

It is an arithmetic number, because the mean of its divisors is an integer number (44754528).

Almost surely, 2^1668351006 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1668351006, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2148217344).

1668351006 is an abundant number, since it is smaller than the sum of its proper divisors (2628083682).

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

1668351006 is an equidigital number, since it uses as much as digits as its factorization.

1668351006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1428 (or 1416 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 1668351006 is about 40845.4526967201. The cubic root of 1668351006 is about 1186.0303680466.

Adding to 1668351006 its reverse (6001538661), we get a palindrome (7669889667).

The spelling of 1668351006 in words is "one billion, six hundred sixty-eight million, three hundred fifty-one thousand, six".