516330264672 has 384 divisors, whose sum is σ = 1623198528000. Its totient is φ = 161182669824.

The previous prime is 516330264641. The next prime is 516330264701. The reversal of 516330264672 is 276462033615.

516330264672 is a `hidden beast` number, since 5 + 1 + 633 + 0 + 2 + 6 + 4 + 6 + 7 + 2 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 118340763 + ... + 118345125.

It is an arithmetic number, because the mean of its divisors is an integer number (4227079500).

Almost surely, 2^516330264672 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 516330264672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (811599264000).

516330264672 is an abundant number, since it is smaller than the sum of its proper divisors (1106868263328).

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

516330264672 is an equidigital number, since it uses as much as digits as its factorization.

516330264672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4502 (or 4476 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 45.

The spelling of 516330264672 in words is "five hundred sixteen billion, three hundred thirty million, two hundred sixty-four thousand, six hundred seventy-two".