6676585146 has 192 divisors, whose sum is σ = 19096197120. Its totient is φ = 1635016320.

The previous prime is 6676585127. The next prime is 6676585147. The reversal of 6676585146 is 6415856766.

6676585146 is a `hidden beast` number, since 6 + 6 + 76 + 58 + 514 + 6 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 6676585092 and 6676585101.

It is not an unprimeable number, because it can be changed into a prime (6676585147) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1726411 + ... + 1730273.

It is an arithmetic number, because the mean of its divisors is an integer number (99459360).

Almost surely, 2^6676585146 is an apocalyptic number.

6676585146 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 6676585146, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9548098560).

6676585146 is an abundant number, since it is smaller than the sum of its proper divisors (12419611974).

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

6676585146 is a wasteful number, since it uses less digits than its factorization.

6676585146 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3961 (or 3958 counting only the distinct ones).

The product of its digits is 7257600, while the sum is 54.

The square root of 6676585146 is about 81710.3735519548. The cubic root of 6676585146 is about 1883.0049599068.

The spelling of 6676585146 in words is "six billion, six hundred seventy-six million, five hundred eighty-five thousand, one hundred forty-six".