6323864832 has 144 divisors (see below), whose sum is σ = 19136582080. Its totient is φ = 2058835968.

The previous prime is 6323864831. The next prime is 6323864837. The reversal of 6323864832 is 2384683236.

6323864832 is a `hidden beast` number, since 632 + 3 + 8 + 6 + 4 + 8 + 3 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6323864831) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 286578 + ... + 307854.

Almost surely, 2^6323864832 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 6323864832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9568291040).

6323864832 is an abundant number, since it is smaller than the sum of its proper divisors (12812717248).

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

6323864832 is a wasteful number, since it uses less digits than its factorization.

6323864832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21345 (or 21325 counting only the distinct ones).

The product of its digits is 995328, while the sum is 45.

The square root of 6323864832 is about 79522.7315426225. The cubic root of 6323864832 is about 1849.2438918432.

The spelling of 6323864832 in words is "six billion, three hundred twenty-three million, eight hundred sixty-four thousand, eight hundred thirty-two".