6855840000 has 675 divisors, whose sum is σ = 26704376083. Its totient is φ = 1748736000.

The previous prime is 6855839993. The next prime is 6855840031. The reversal of 6855840000 is 485586.

It is a happy number.

The square root of 6855840000 is 82800.

It is a perfect power (a square), and thus also a powerful number.

6855840000 is a `hidden beast` number, since 68 + 558 + 40 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 537497856 + 6318342144 = 23184^2 + 79488^2 .

It is a tau number, because it is divible by the number of its divisors (675).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 74 ways as a sum of consecutive naturals, for example, 298079989 + ... + 298080011.

Almost surely, 2^6855840000 is an apocalyptic number.

6855840000 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

6855840000 is the 82800-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6855840000

6855840000 is an abundant number, since it is smaller than the sum of its proper divisors (19848536083).

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

6855840000 is an frugal number, since it uses more digits than its factorization.

6855840000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94 (or 33 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The cubic root of 6855840000 is about 1899.7081730929.

Multiplying 6855840000 by its sum of digits (36), we get a square (246810240000 = 496800²).

6855840000 divided by its sum of digits (36) gives a square (190440000 = 13800²).

The spelling of 6855840000 in words is "six billion, eight hundred fifty-five million, eight hundred forty thousand".