6895481760 has 144 divisors (see below), whose sum is σ = 23575819176. Its totient is φ = 1835280384.

The previous prime is 6895481753. The next prime is 6895481771. The reversal of 6895481760 is 671845986.

6895481760 is a `hidden beast` number, since 6 + 8 + 95 + 481 + 76 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 4713097104 + 2182384656 = 68652^2 + 46716^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 6895481697 and 6895481706.

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 23 ways as a sum of consecutive naturals, for example, 797782 + ... + 806378.

Almost surely, 2^6895481760 is an apocalyptic number.

6895481760 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 6895481760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11787909588).

6895481760 is an abundant number, since it is smaller than the sum of its proper divisors (16680337416).

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

6895481760 is a wasteful number, since it uses less digits than its factorization.

6895481760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9175 (or 9164 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The square root of 6895481760 is about 83039.0375666770. The cubic root of 6895481760 is about 1903.3626288571.

The spelling of 6895481760 in words is "six billion, eight hundred ninety-five million, four hundred eighty-one thousand, seven hundred sixty".