6316518047328 has 240 divisors, whose sum is σ = 19229455365120. Its totient is φ = 2031901459200.

The previous prime is 6316518047219. The next prime is 6316518047351. The reversal of 6316518047328 is 8237408156136.

6316518047328 is a `hidden beast` number, since 6 + 3 + 165 + 1 + 8 + 0 + 473 + 2 + 8 = 666.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 28736883 + ... + 28955853.

It is an arithmetic number, because the mean of its divisors is an integer number (80122730688).

Almost surely, 2^{6316518047328} 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 6316518047328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9614727682560).

6316518047328 is an abundant number, since it is smaller than the sum of its proper divisors (12912937317792).

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

6316518047328 is a wasteful number, since it uses less digits than its factorization.

6316518047328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 219383 (or 219366 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 6316518047328 in words is "six trillion, three hundred sixteen billion, five hundred eighteen million, forty-seven thousand, three hundred twenty-eight".