6832855638 has 96 divisors (see below), whose sum is σ = 17937653760. Its totient is φ = 1838168640.

The previous prime is 6832855633. The next prime is 6832855643. The reversal of 6832855638 is 8365582386.

6832855638 is a `hidden beast` number, since 6 + 83 + 2 + 8 + 556 + 3 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (6832855633) and next prime (6832855643).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6832855633) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 120883 + ... + 168161.

It is an arithmetic number, because the mean of its divisors is an integer number (186850560).

Almost surely, 2^6832855638 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6832855638, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8968826880).

6832855638 is an abundant number, since it is smaller than the sum of its proper divisors (11104798122).

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

6832855638 is a wasteful number, since it uses less digits than its factorization.

6832855638 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47362 (or 47359 counting only the distinct ones).

The product of its digits is 8294400, while the sum is 54.

The square root of 6832855638 is about 82661.0890201672. The cubic root of 6832855638 is about 1897.5828577503.

The spelling of 6832855638 in words is "six billion, eight hundred thirty-two million, eight hundred fifty-five thousand, six hundred thirty-eight".