6804847012800 has 672 divisors, whose sum is σ = 24944378457600. Its totient is φ = 1615232368640.

The previous prime is 6804847012771. The next prime is 6804847012811. The reversal of 6804847012800 is 82107484086.

It is a super-2 number, since 2×6804847012800² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 6804847012800.

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, 167014831 + ... + 167055569.

It is an arithmetic number, because the mean of its divisors is an integer number (37119610800).

Almost surely, 2^{6804847012800} is an apocalyptic number.

6804847012800 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 6804847012800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12472189228800).

6804847012800 is an abundant number, since it is smaller than the sum of its proper divisors (18139531444800).

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

6804847012800 is a wasteful number, since it uses less digits than its factorization.

6804847012800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40893 (or 40878 counting only the distinct ones).

The product of its (nonzero) digits is 688128, while the sum is 48.

The spelling of 6804847012800 in words is "six trillion, eight hundred four billion, eight hundred forty-seven million, twelve thousand, eight hundred".