6856012800 has 1056 divisors, whose sum is σ = 31271609600. Its totient is φ = 1433272320.

The previous prime is 6856012777. The next prime is 6856012817. The reversal of 6856012800 is 82106586.

It is a happy number.

6856012800 is a `hidden beast` number, since 6 + 8 + 560 + 12 + 80 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 62899146 + ... + 62899254.

Almost surely, 2^6856012800 is an apocalyptic number.

6856012800 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 6856012800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15635804800).

6856012800 is an abundant number, since it is smaller than the sum of its proper divisors (24415596800).

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

6856012800 is a wasteful number, since it uses less digits than its factorization.

6856012800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168 (or 139 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 6856012800 is about 82801.0434716858. The cubic root of 6856012800 is about 1899.7241335400.

The spelling of 6856012800 in words is "six billion, eight hundred fifty-six million, twelve thousand, eight hundred".