6865180056 has 256 divisors, whose sum is σ = 22716288000. Its totient is φ = 1880202240.

The previous prime is 6865180039. The next prime is 6865180087. The reversal of 6865180056 is 6500815686.

6865180056 is a `hidden beast` number, since 6 + 86 + 518 + 0 + 0 + 56 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 6865179993 and 6865180020.

It is a congruent number.

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, 3656590 + ... + 3658466.

It is an arithmetic number, because the mean of its divisors is an integer number (88735500).

Almost surely, 2^6865180056 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6865180056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11358144000).

6865180056 is an abundant number, since it is smaller than the sum of its proper divisors (15851107944).

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

6865180056 is a wasteful number, since it uses less digits than its factorization.

6865180056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1999 (or 1989 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 45.

The square root of 6865180056 is about 82856.3821078377. The cubic root of 6865180056 is about 1900.5704709901.

The spelling of 6865180056 in words is "six billion, eight hundred sixty-five million, one hundred eighty thousand, fifty-six".