6728859648 has 480 divisors, whose sum is σ = 23780977920. Its totient is φ = 1840250880.

The previous prime is 6728859637. The next prime is 6728859649. The reversal of 6728859648 is 8469588276.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (6728859649) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 126959590 + ... + 126959642.

It is an arithmetic number, because the mean of its divisors is an integer number (49543704).

Almost surely, 2^6728859648 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 6728859648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11890488960).

6728859648 is an abundant number, since it is smaller than the sum of its proper divisors (17052118272).

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

6728859648 is an equidigital number, since it uses as much as digits as its factorization.

6728859648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138 (or 106 counting only the distinct ones).

The product of its digits is 46448640, while the sum is 63.

The square root of 6728859648 is about 82029.6266479374. The cubic root of 6728859648 is about 1887.9065356394.

The spelling of 6728859648 in words is "six billion, seven hundred twenty-eight million, eight hundred fifty-nine thousand, six hundred forty-eight".