6328507752 has 256 divisors, whose sum is σ = 20553523200. Its totient is φ = 1766983680.

The previous prime is 6328507739. The next prime is 6328507807. The reversal of 6328507752 is 2577058236.

6328507752 is a `hidden beast` number, since 632 + 8 + 5 + 0 + 7 + 7 + 5 + 2 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 6328507698 and 6328507707.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 17927608 + ... + 17927960.

It is an arithmetic number, because the mean of its divisors is an integer number (80287200).

Almost surely, 2^6328507752 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 6328507752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10276761600).

6328507752 is an abundant number, since it is smaller than the sum of its proper divisors (14225015448).

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

6328507752 is a wasteful number, since it uses less digits than its factorization.

6328507752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 613 (or 603 counting only the distinct ones).

The product of its (nonzero) digits is 705600, while the sum is 45.

The square root of 6328507752 is about 79551.9185940855. The cubic root of 6328507752 is about 1849.6963467532.

The spelling of 6328507752 in words is "six billion, three hundred twenty-eight million, five hundred seven thousand, seven hundred fifty-two".