6859345920 has 416 divisors, whose sum is σ = 25760367360. Its totient is φ = 1525678080.

The previous prime is 6859345907. The next prime is 6859345921. The reversal of 6859345920 is 295439586.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6859345921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17633086 + ... + 17633474.

It is an arithmetic number, because the mean of its divisors is an integer number (61923960).

Almost surely, 2^6859345920 is an apocalyptic number.

6859345920 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 6859345920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12880183680).

6859345920 is an abundant number, since it is smaller than the sum of its proper divisors (18901021440).

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

6859345920 is a wasteful number, since it uses less digits than its factorization.

6859345920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 469 (or 447 counting only the distinct ones).

The product of its (nonzero) digits is 2332800, while the sum is 51.

The square root of 6859345920 is about 82821.1683085913. The cubic root of 6859345920 is about 1900.0319403680.

The spelling of 6859345920 in words is "six billion, eight hundred fifty-nine million, three hundred forty-five thousand, nine hundred twenty".