6804678400 has 324 divisors, whose sum is σ = 19336031512. Its totient is φ = 2356346880.

The previous prime is 6804678389. The next prime is 6804678401. The reversal of 6804678400 is 48764086.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6804678401) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 24044659 + ... + 24044941.

Almost surely, 2^6804678400 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6804678400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9668015756).

6804678400 is an abundant number, since it is smaller than the sum of its proper divisors (12531353112).

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

6804678400 is a wasteful number, since it uses less digits than its factorization.

6804678400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 356 (or 320 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 43.

The square root of 6804678400 is about 82490.4746016169. The cubic root of 6804678400 is about 1894.9708551338.

The spelling of 6804678400 in words is "six billion, eight hundred four million, six hundred seventy-eight thousand, four hundred".