512661663360 has 768 divisors, whose sum is σ = 2215828742400. Its totient is φ = 106106388480.

The previous prime is 512661663359. The next prime is 512661663383. The reversal of 512661663360 is 63366166215.

512661663360 is a `hidden beast` number, since 5 + 1 + 2 + 6 + 6 + 1 + 6 + 633 + 6 + 0 = 666.

It is a super-4 number, since 4×512661663360⁴ (a number of 48 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 119304732 + ... + 119309028.

It is an arithmetic number, because the mean of its divisors is an integer number (2885193675).

Almost surely, 2^512661663360 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 512661663360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1107914371200).

512661663360 is an abundant number, since it is smaller than the sum of its proper divisors (1703167079040).

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

512661663360 is a wasteful number, since it uses less digits than its factorization.

512661663360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4609 (or 4594 counting only the distinct ones).

The product of its (nonzero) digits is 699840, while the sum is 45.

The spelling of 512661663360 in words is "five hundred twelve billion, six hundred sixty-one million, six hundred sixty-three thousand, three hundred sixty".