6855585984 has 392 divisors, whose sum is σ = 22387438080. Its totient is φ = 2069286912.

The previous prime is 6855585973. The next prime is 6855586091. The reversal of 6855585984 is 4895855586.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 53980929 + ... + 53981055.

Almost surely, 2^6855585984 is an apocalyptic number.

6855585984 is a gapful number since it is divisible by the number (64) 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 6855585984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11193719040).

6855585984 is an abundant number, since it is smaller than the sum of its proper divisors (15531852096).

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

6855585984 is a wasteful number, since it uses less digits than its factorization.

6855585984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 259 (or 234 counting only the distinct ones).

The product of its digits is 69120000, while the sum is 63.

The square root of 6855585984 is about 82798.4660727480. The cubic root of 6855585984 is about 1899.6847107488.

The spelling of 6855585984 in words is "six billion, eight hundred fifty-five million, five hundred eighty-five thousand, nine hundred eighty-four".