6331128048 has 320 divisors, whose sum is σ = 21448627200. Its totient is φ = 1750533120.

The previous prime is 6331127993. The next prime is 6331128079. The reversal of 6331128048 is 8408211336.

6331128048 is a `hidden beast` number, since 6 + 331 + 1 + 280 + 48 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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, 23535658 + ... + 23535926.

It is an arithmetic number, because the mean of its divisors is an integer number (67026960).

Almost surely, 2^6331128048 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 6331128048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10724313600).

6331128048 is an abundant number, since it is smaller than the sum of its proper divisors (15117499152).

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

6331128048 is a wasteful number, since it uses less digits than its factorization.

6331128048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 517 (or 505 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 6331128048 is about 79568.3859833791. The cubic root of 6331128048 is about 1849.9515982467.

The spelling of 6331128048 in words is "six billion, three hundred thirty-one million, one hundred twenty-eight thousand, forty-eight".