6328076832 has 384 divisors, whose sum is σ = 23344312320. Its totient is φ = 1619896320.

The previous prime is 6328076831. The next prime is 6328076857. The reversal of 6328076832 is 2386708236.

6328076832 is a `hidden beast` number, since 632 + 8 + 0 + 7 + 6 + 8 + 3 + 2 = 666.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (6328076831) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4855893 + ... + 4857195.

It is an arithmetic number, because the mean of its divisors is an integer number (60792480).

Almost surely, 2^6328076832 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 6328076832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11672156160).

6328076832 is an abundant number, since it is smaller than the sum of its proper divisors (17016235488).

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

6328076832 is a wasteful number, since it uses less digits than its factorization.

6328076832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1413 (or 1399 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The square root of 6328076832 is about 79549.2101280710. The cubic root of 6328076832 is about 1849.6543626988.

The spelling of 6328076832 in words is "six billion, three hundred twenty-eight million, seventy-six thousand, eight hundred thirty-two".