6682815672 has 96 divisors (see below), whose sum is σ = 18119415600. Its totient is φ = 2053029888.

The previous prime is 6682815571. The next prime is 6682815673. The reversal of 6682815672 is 2765182866.

It is a happy number.

It is a super-3 number, since 3×6682815672³ (a number of 30 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6682815673) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4675854 + ... + 4677282.

Almost surely, 2^6682815672 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 6682815672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9059707800).

6682815672 is an abundant number, since it is smaller than the sum of its proper divisors (11436599928).

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

6682815672 is a wasteful number, since it uses less digits than its factorization.

6682815672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2617 (or 2600 counting only the distinct ones).

The product of its digits is 1935360, while the sum is 51.

The square root of 6682815672 is about 81748.4903346845. The cubic root of 6682815672 is about 1883.5905119300.

The spelling of 6682815672 in words is "six billion, six hundred eighty-two million, eight hundred fifteen thousand, six hundred seventy-two".