6832035072 has 180 divisors, whose sum is σ = 21571351956. Its totient is φ = 2143272960.

The previous prime is 6832035059. The next prime is 6832035073. The reversal of 6832035072 is 2705302386.

It can be written as a sum of positive squares in 2 ways, for example, as 5309162496 + 1522872576 = 72864^2 + 39024^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6832035073) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 342822 + ... + 362202.

Almost surely, 2^6832035072 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 6832035072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10785675978).

6832035072 is an abundant number, since it is smaller than the sum of its proper divisors (14739316884).

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

6832035072 is a wasteful number, since it uses less digits than its factorization.

6832035072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19426 (or 19403 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 6832035072 is about 82656.1254354449. The cubic root of 6832035072 is about 1897.5068936930.

The spelling of 6832035072 in words is "six billion, eight hundred thirty-two million, thirty-five thousand, seventy-two".