6931728960 has 896 divisors, whose sum is σ = 27528560640. Its totient is φ = 1459814400.

The previous prime is 6931728949. The next prime is 6931728989. The reversal of 6931728960 is 698271396.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 169066540 + ... + 169066580.

It is an arithmetic number, because the mean of its divisors is an integer number (30723840).

Almost surely, 2^6931728960 is an apocalyptic number.

6931728960 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 6931728960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13764280320).

6931728960 is an abundant number, since it is smaller than the sum of its proper divisors (20596831680).

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

6931728960 is a wasteful number, since it uses less digits than its factorization.

6931728960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 979776, while the sum is 51.

The square root of 6931728960 is about 83257.0054710113. The cubic root of 6931728960 is about 1906.6919117940.

The spelling of 6931728960 in words is "six billion, nine hundred thirty-one million, seven hundred twenty-eight thousand, nine hundred sixty".