6681624048 has 120 divisors (see below), whose sum is σ = 20448619776. Its totient is φ = 2019830400.

The previous prime is 6681624043. The next prime is 6681624049. The reversal of 6681624048 is 8404261866.

It is a junction number, because it is equal to n+sod(n) for n = 6681623994 and 6681624012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6681624043) 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, 677811 + ... + 687597.

Almost surely, 2^6681624048 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 6681624048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10224309888).

6681624048 is an abundant number, since it is smaller than the sum of its proper divisors (13766995728).

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

6681624048 is a wasteful number, since it uses less digits than its factorization.

6681624048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10243 (or 10234 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The square root of 6681624048 is about 81741.2016549794. The cubic root of 6681624048 is about 1883.4785498872.

The spelling of 6681624048 in words is "six billion, six hundred eighty-one million, six hundred twenty-four thousand, forty-eight".