6854820000 has 480 divisors, whose sum is σ = 27081331200. Its totient is φ = 1482624000.

The previous prime is 6854819977. The next prime is 6854820029. The reversal of 6854820000 is 284586.

It is a tau number, because it is divible by the number of its divisors (480).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 7979571 + ... + 7980429.

It is an arithmetic number, because the mean of its divisors is an integer number (56419440).

Almost surely, 2^6854820000 is an apocalyptic number.

6854820000 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 6854820000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13540665600).

6854820000 is an abundant number, since it is smaller than the sum of its proper divisors (20226511200).

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

6854820000 is a wasteful number, since it uses less digits than its factorization.

6854820000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 918 (or 895 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 33.

The square root of 6854820000 is about 82793.8403505961. The cubic root of 6854820000 is about 1899.6139566565.

The spelling of 6854820000 in words is "six billion, eight hundred fifty-four million, eight hundred twenty thousand".