6709548960 has 288 divisors, whose sum is σ = 24050452608. Its totient is φ = 1700075520.

The previous prime is 6709548931. The next prime is 6709548977. The reversal of 6709548960 is 698459076.

6709548960 is a `hidden beast` number, since 6 + 7 + 0 + 9 + 548 + 96 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a junction number, because it is equal to n+sod(n) for n = 6709548897 and 6709548906.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5729175 + ... + 5730345.

It is an arithmetic number, because the mean of its divisors is an integer number (83508516).

Almost surely, 2^6709548960 is an apocalyptic number.

6709548960 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 6709548960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12025226304).

6709548960 is an abundant number, since it is smaller than the sum of its proper divisors (17340903648).

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

6709548960 is a wasteful number, since it uses less digits than its factorization.

6709548960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1388 (or 1377 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The square root of 6709548960 is about 81911.8365073083. The cubic root of 6709548960 is about 1886.0988145383.

The spelling of 6709548960 in words is "six billion, seven hundred nine million, five hundred forty-eight thousand, nine hundred sixty".