6682577020 has 96 divisors (see below), whose sum is σ = 16903756800. Its totient is φ = 2167824384.

The previous prime is 6682576939. The next prime is 6682577051. The reversal of 6682577020 is 207752866.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 3747049 + ... + 3748831.

It is an arithmetic number, because the mean of its divisors is an integer number (176080800).

Almost surely, 2^6682577020 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 6682577020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8451878400).

6682577020 is an abundant number, since it is smaller than the sum of its proper divisors (10221179780).

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

6682577020 is a wasteful number, since it uses less digits than its factorization.

6682577020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3227 (or 3225 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 43.

The square root of 6682577020 is about 81747.0306494370. The cubic root of 6682577020 is about 1883.5680898444.

The spelling of 6682577020 in words is "six billion, six hundred eighty-two million, five hundred seventy-seven thousand, twenty".