6804135936 has 336 divisors, whose sum is σ = 21945356160. Its totient is φ = 2017198080.

The previous prime is 6804135911. The next prime is 6804136013. The reversal of 6804135936 is 6395314086.

It is a junction number, because it is equal to n+sod(n) for n = 6804135891 and 6804135900.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 29712270 + ... + 29712498.

It is an arithmetic number, because the mean of its divisors is an integer number (65313560).

Almost surely, 2^6804135936 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 6804135936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10972678080).

6804135936 is an abundant number, since it is smaller than the sum of its proper divisors (15141220224).

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

6804135936 is a wasteful number, since it uses less digits than its factorization.

6804135936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 305 (or 278 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The square root of 6804135936 is about 82487.1864958431. The cubic root of 6804135936 is about 1894.9204985641.

The spelling of 6804135936 in words is "six billion, eight hundred four million, one hundred thirty-five thousand, nine hundred thirty-six".