6606827136 has 768 divisors, whose sum is σ = 25662873600. Its totient is φ = 1582571520.

The previous prime is 6606827111. The next prime is 6606827153. The reversal of 6606827136 is 6317286066.

6606827136 is a `hidden beast` number, since 6 + 606 + 8 + 2 + 7 + 1 + 36 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 6606827091 and 6606827100.

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 95 ways as a sum of consecutive naturals, for example, 61745995 + ... + 61746101.

It is an arithmetic number, because the mean of its divisors is an integer number (33415200).

Almost surely, 2^6606827136 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6606827136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12831436800).

6606827136 is an abundant number, since it is smaller than the sum of its proper divisors (19056046464).

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

6606827136 is a wasteful number, since it uses less digits than its factorization.

6606827136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 197 (or 182 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The square root of 6606827136 is about 81282.3913034059. The cubic root of 6606827136 is about 1876.4240096444.

The spelling of 6606827136 in words is "six billion, six hundred six million, eight hundred twenty-seven thousand, one hundred thirty-six".