6859831680 has 768 divisors, whose sum is σ = 27551016000. Its totient is φ = 1630347264.

The previous prime is 6859831679. The next prime is 6859831717. The reversal of 6859831680 is 861389586.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 95 ways as a sum of consecutive naturals, for example, 236545906 + ... + 236545934.

Almost surely, 2^6859831680 is an apocalyptic number.

6859831680 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 6859831680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13775508000).

6859831680 is an abundant number, since it is smaller than the sum of its proper divisors (20691184320).

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

6859831680 is an equidigital number, since it uses as much as digits as its factorization.

6859831680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95 (or 52 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 54.

The square root of 6859831680 is about 82824.1008402747. The cubic root of 6859831680 is about 1900.0767909868.

The spelling of 6859831680 in words is "six billion, eight hundred fifty-nine million, eight hundred thirty-one thousand, six hundred eighty".