6748123824 has 320 divisors, whose sum is σ = 22048588800. Its totient is φ = 1960409088.

The previous prime is 6748123793. The next prime is 6748123861. The reversal of 6748123824 is 4283218476.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 6748123824.

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 63 ways as a sum of consecutive naturals, for example, 11495659 + ... + 11496245.

It is an arithmetic number, because the mean of its divisors is an integer number (68901840).

Almost surely, 2^6748123824 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 6748123824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11024294400).

6748123824 is an abundant number, since it is smaller than the sum of its proper divisors (15300464976).

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

6748123824 is a wasteful number, since it uses less digits than its factorization.

6748123824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 729 (or 717 counting only the distinct ones).

The product of its digits is 516096, while the sum is 45.

The square root of 6748123824 is about 82146.9647887248. The cubic root of 6748123824 is about 1889.7064598290.

The spelling of 6748123824 in words is "six billion, seven hundred forty-eight million, one hundred twenty-three thousand, eight hundred twenty-four".