6805735104 has 224 divisors, whose sum is σ = 21176626176. Its totient is φ = 1888911360.

The previous prime is 6805735093. The next prime is 6805735117. The reversal of 6805735104 is 4015375086.

It is a tau number, because it is divible by the number of its divisors (224).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6965464 + ... + 6966440.

Almost surely, 2^6805735104 is an apocalyptic number.

6805735104 is a gapful number since it is divisible by the number (64) 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 6805735104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10588313088).

6805735104 is an abundant number, since it is smaller than the sum of its proper divisors (14370891072).

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

6805735104 is a wasteful number, since it uses less digits than its factorization.

6805735104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1143 (or 1133 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 39.

The square root of 6805735104 is about 82496.8793591612. The cubic root of 6805735104 is about 1895.0689405745.

The spelling of 6805735104 in words is "six billion, eight hundred five million, seven hundred thirty-five thousand, one hundred four".