506991961664 has 224 divisors, whose sum is σ = 1134148608000. Its totient is φ = 223738454016.

The previous prime is 506991961633. The next prime is 506991961699. The reversal of 506991961664 is 466169199605.

It is a junction number, because it is equal to n+sod(n) for n = 506991961597 and 506991961606.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 186461297 + ... + 186464015.

Almost surely, 2^506991961664 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 506991961664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (567074304000).

506991961664 is an abundant number, since it is smaller than the sum of its proper divisors (627156646336).

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

506991961664 is a wasteful number, since it uses less digits than its factorization.

506991961664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2945 (or 2935 counting only the distinct ones).

The product of its (nonzero) digits is 18895680, while the sum is 62.

The spelling of 506991961664 in words is "five hundred six billion, nine hundred ninety-one million, nine hundred sixty-one thousand, six hundred sixty-four".