6859961856 has 480 divisors, whose sum is σ = 24129705600. Its totient is φ = 1849098240.

The previous prime is 6859961833. The next prime is 6859961893. The reversal of 6859961856 is 6581699586.

6859961856 is a `hidden beast` number, since 6 + 8 + 5 + 9 + 9 + 618 + 5 + 6 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 6859961793 and 6859961802.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 16372015 + ... + 16372433.

It is an arithmetic number, because the mean of its divisors is an integer number (50270220).

Almost surely, 2^6859961856 is an apocalyptic number.

6859961856 is a gapful number since it is divisible by the number (66) 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 6859961856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12064852800).

6859961856 is an abundant number, since it is smaller than the sum of its proper divisors (17269743744).

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

6859961856 is a wasteful number, since it uses less digits than its factorization.

6859961856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 490 (or 471 counting only the distinct ones).

The product of its digits is 27993600, while the sum is 63.

The square root of 6859961856 is about 82824.8866947610. The cubic root of 6859961856 is about 1900.0888098839.

The spelling of 6859961856 in words is "six billion, eight hundred fifty-nine million, nine hundred sixty-one thousand, eight hundred fifty-six".