6832758240 has 960 divisors, whose sum is σ = 30981823488. Its totient is φ = 1376870400.

The previous prime is 6832758227. The next prime is 6832758241. The reversal of 6832758240 is 428572386.

6832758240 is a `hidden beast` number, since 6 + 8 + 3 + 27 + 582 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6832758241) by changing a digit.

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 159 ways as a sum of consecutive naturals, for example, 40914637 + ... + 40914803.

Almost surely, 2^6832758240 is an apocalyptic number.

6832758240 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 6832758240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15490911744).

6832758240 is an abundant number, since it is smaller than the sum of its proper divisors (24149065248).

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

6832758240 is a wasteful number, since it uses less digits than its factorization.

6832758240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 253 (or 236 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The square root of 6832758240 is about 82660.4998775110. The cubic root of 6832758240 is about 1897.5738414296.

The spelling of 6832758240 in words is "six billion, eight hundred thirty-two million, seven hundred fifty-eight thousand, two hundred forty".