6805235520 has 224 divisors, whose sum is σ = 24101389440. Its totient is φ = 1807626240.

The previous prime is 6805235501. The next prime is 6805235533. The reversal of 6805235520 is 255325086.

It is a happy number.

6805235520 is a `hidden beast` number, since 6 + 80 + 5 + 23 + 552 + 0 = 666.

It is a super-2 number, since 2×6805235520² = 92622460965339340800, 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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2426439 + ... + 2429241.

Almost surely, 2^6805235520 is an apocalyptic number.

6805235520 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 6805235520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12050694720).

6805235520 is an abundant number, since it is smaller than the sum of its proper divisors (17296153920).

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

6805235520 is a wasteful number, since it uses less digits than its factorization.

6805235520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3110 (or 3094 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

The square root of 6805235520 is about 82493.8514072413. The cubic root of 6805235520 is about 1895.0225694246.

The spelling of 6805235520 in words is "six billion, eight hundred five million, two hundred thirty-five thousand, five hundred twenty".