516330384768 has 512 divisors, whose sum is σ = 1714060224000. Its totient is φ = 151638220800.

The previous prime is 516330384767. The next prime is 516330384793. The reversal of 516330384768 is 867483033615.

516330384768 is a `hidden beast` number, since 5 + 163 + 3 + 0 + 3 + 8 + 476 + 8 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (516330384767) 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, 465581398 + ... + 465582506.

It is an arithmetic number, because the mean of its divisors is an integer number (3347773875).

Almost surely, 2^516330384768 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 516330384768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (857030112000).

516330384768 is an abundant number, since it is smaller than the sum of its proper divisors (1197729839232).

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

516330384768 is a wasteful number, since it uses less digits than its factorization.

516330384768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1511 (or 1493 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 54.

The spelling of 516330384768 in words is "five hundred sixteen billion, three hundred thirty million, three hundred eighty-four thousand, seven hundred sixty-eight".