6854400000 has 864 divisors, whose sum is σ = 29942771040. Its totient is φ = 1474560000.

The previous prime is 6854399941. The next prime is 6854400011. The reversal of 6854400000 is 44586.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 403199992 + ... + 403200008.

It is an arithmetic number, because the mean of its divisors is an integer number (34655985).

Almost surely, 2^6854400000 is an apocalyptic number.

6854400000 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 6854400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14971385520).

6854400000 is an abundant number, since it is smaller than the sum of its proper divisors (23088371040).

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

6854400000 is an equidigital number, since it uses as much as digits as its factorization.

6854400000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 6854400000 is about 82791.3038911696. The cubic root of 6854400000 is about 1899.5751589367.

Adding to 6854400000 its reverse (44586), we get a palindrome (6854444586).

The spelling of 6854400000 in words is "six billion, eight hundred fifty-four million, four hundred thousand".