6806842560 has 448 divisors, whose sum is σ = 27616343040. Its totient is φ = 1546076160.

The previous prime is 6806842541. The next prime is 6806842579. The reversal of 6806842560 is 652486086.

6806842560 is a `hidden beast` number, since 6 + 8 + 0 + 6 + 84 + 2 + 560 = 666.

It is an interprime number because it is at equal distance from previous prime (6806842541) and next prime (6806842579).

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 14575447 + ... + 14575913.

Almost surely, 2^6806842560 is an apocalyptic number.

6806842560 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 6806842560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13808171520).

6806842560 is an abundant number, since it is smaller than the sum of its proper divisors (20809500480).

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

6806842560 is a wasteful number, since it uses less digits than its factorization.

6806842560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 741 (or 725 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The square root of 6806842560 is about 82503.5911945656. The cubic root of 6806842560 is about 1895.1717260249.

The spelling of 6806842560 in words is "six billion, eight hundred six million, eight hundred forty-two thousand, five hundred sixty".