6548682816 has 448 divisors, whose sum is σ = 21694444800. Its totient is φ = 1948354560.

The previous prime is 6548682793. The next prime is 6548682817. The reversal of 6548682816 is 6182868456.

6548682816 is a `hidden beast` number, since 6 + 5 + 486 + 82 + 81 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (6548682817) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 107355426 + ... + 107355486.

It is an arithmetic number, because the mean of its divisors is an integer number (48425100).

Almost surely, 2^6548682816 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 6548682816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10847222400).

6548682816 is an abundant number, since it is smaller than the sum of its proper divisors (15145761984).

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

6548682816 is an equidigital number, since it uses as much as digits as its factorization.

6548682816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166 (or 138 counting only the distinct ones).

The product of its digits is 4423680, while the sum is 54.

The square root of 6548682816 is about 80923.9322821129. The cubic root of 6548682816 is about 1870.9032036713.

The spelling of 6548682816 in words is "six billion, five hundred forty-eight million, six hundred eighty-two thousand, eight hundred sixteen".