6805038528 has 224 divisors, whose sum is σ = 21445240320. Its totient is φ = 2108436480.

The previous prime is 6805038517. The next prime is 6805038533. The reversal of 6805038528 is 8258305086.

It is a happy number.

6805038528 is a `hidden beast` number, since 68 + 0 + 503 + 85 + 2 + 8 = 666.

It is a congruent number.

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, 2436813 + ... + 2439603.

It is an arithmetic number, because the mean of its divisors is an integer number (95737680).

Almost surely, 2^6805038528 is an apocalyptic number.

6805038528 is a gapful number since it is divisible by the number (68) 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 6805038528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10722620160).

6805038528 is an abundant number, since it is smaller than the sum of its proper divisors (14640201792).

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

6805038528 is a wasteful number, since it uses less digits than its factorization.

6805038528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2912 (or 2896 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 45.

The square root of 6805038528 is about 82492.6574187061. The cubic root of 6805038528 is about 1895.0042840968.

The spelling of 6805038528 in words is "six billion, eight hundred five million, thirty-eight thousand, five hundred twenty-eight".