516664562304 has 512 divisors, whose sum is σ = 1591380172800. Its totient is φ = 147076300800.

The previous prime is 516664562303. The next prime is 516664562317. The reversal of 516664562304 is 403265466615.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (516664562303) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 756463147 + ... + 756463829.

It is an arithmetic number, because the mean of its divisors is an integer number (3108164400).

Almost surely, 2^516664562304 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 516664562304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (795690086400).

516664562304 is an abundant number, since it is smaller than the sum of its proper divisors (1074715610496).

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

516664562304 is a wasteful number, since it uses less digits than its factorization.

516664562304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 904 (or 892 counting only the distinct ones).

The product of its (nonzero) digits is 3110400, while the sum is 48.

The spelling of 516664562304 in words is "five hundred sixteen billion, six hundred sixty-four million, five hundred sixty-two thousand, three hundred four".