6804136800 has 216 divisors, whose sum is σ = 24208309944. Its totient is φ = 1798164480.

The previous prime is 6804136789. The next prime is 6804136811. The reversal of 6804136800 is 86314086.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (6804136789) and next prime (6804136811).

It is a super-2 number, since 2×6804136800² = 92592555186228480000, which contains 22 as substring.

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 35 ways as a sum of consecutive naturals, for example, 809419 + ... + 817781.

It is an arithmetic number, because the mean of its divisors is an integer number (112075509).

Almost surely, 2^6804136800 is an apocalyptic number.

6804136800 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 6804136800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12104154972).

6804136800 is an abundant number, since it is smaller than the sum of its proper divisors (17404173144).

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

6804136800 is a wasteful number, since it uses less digits than its factorization.

6804136800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8502 (or 8486 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 6804136800 is about 82487.1917330200. The cubic root of 6804136800 is about 1894.9205787708.

The spelling of 6804136800 in words is "six billion, eight hundred four million, one hundred thirty-six thousand, eight hundred".