6828975744 has 256 divisors, whose sum is σ = 20121091200. Its totient is φ = 2043740160.

The previous prime is 6828975743. The next prime is 6828975757. The reversal of 6828975744 is 4475798286.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (6828975743) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11067724 + ... + 11068340.

Almost surely, 2^6828975744 is an apocalyptic number.

6828975744 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6828975744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10060545600).

6828975744 is an abundant number, since it is smaller than the sum of its proper divisors (13292115456).

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

6828975744 is a wasteful number, since it uses less digits than its factorization.

6828975744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 731 (or 719 counting only the distinct ones).

The product of its digits is 27095040, while the sum is 60.

The square root of 6828975744 is about 82637.6170033962. The cubic root of 6828975744 is about 1897.2236221829.

The spelling of 6828975744 in words is "six billion, eight hundred twenty-eight million, nine hundred seventy-five thousand, seven hundred forty-four".