6708828960 has 144 divisors (see below), whose sum is σ = 22919977080. Its totient is φ = 1786982400.

The previous prime is 6708828913. The next prime is 6708828961. The reversal of 6708828960 is 698288076.

It can be written as a sum of positive squares in 4 ways, for example, as 1574819856 + 5134009104 = 39684^2 + 71652^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-4 number, since 4×6708828960⁴ (a number of 40 digits) contains 4444 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 6708828897 and 6708828906.

It is not an unprimeable number, because it can be changed into a prime (6708828961) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1594860 + ... + 1599060.

Almost surely, 2^6708828960 is an apocalyptic number.

6708828960 is a gapful number since it is divisible by the number (60) 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 6708828960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11459988540).

6708828960 is an abundant number, since it is smaller than the sum of its proper divisors (16211148120).

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

6708828960 is a wasteful number, since it uses less digits than its factorization.

6708828960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5331 (or 5320 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 54.

The square root of 6708828960 is about 81907.4414201787. The cubic root of 6708828960 is about 1886.0313465295.

The spelling of 6708828960 in words is "six billion, seven hundred eight million, eight hundred twenty-eight thousand, nine hundred sixty".