1668635136 has 360 divisors, whose sum is σ = 5879221920. Its totient is φ = 446201856.

The previous prime is 1668635117. The next prime is 1668635141. The reversal of 1668635136 is 6315368661.

1668635136 is a `hidden beast` number, since 1 + 6 + 6 + 8 + 635 + 1 + 3 + 6 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 1668635091 and 1668635100.

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 9321895 + ... + 9322073.

It is an arithmetic number, because the mean of its divisors is an integer number (16331172).

Almost surely, 2^1668635136 is an apocalyptic number.

1668635136 is a gapful number since it is divisible by the number (16) 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 1668635136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2939610960).

1668635136 is an abundant number, since it is smaller than the sum of its proper divisors (4210586784).

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

1668635136 is a wasteful number, since it uses less digits than its factorization.

1668635136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 244 (or 208 counting only the distinct ones).

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

The square root of 1668635136 is about 40848.9306591984. The cubic root of 1668635136 is about 1186.0976935432.

It can be divided in two parts, 1668 and 635136, that added together give a square (636804 = 798²).

The spelling of 1668635136 in words is "one billion, six hundred sixty-eight million, six hundred thirty-five thousand, one hundred thirty-six".