506680966176 has 384 divisors, whose sum is σ = 1721748897792. Its totient is φ = 126614016000.

The previous prime is 506680966147. The next prime is 506680966201. The reversal of 506680966176 is 671669086605.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 39636906 + ... + 39649686.

It is an arithmetic number, because the mean of its divisors is an integer number (4483721088).

Almost surely, 2^506680966176 is an apocalyptic number.

506680966176 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 506680966176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (860874448896).

506680966176 is an abundant number, since it is smaller than the sum of its proper divisors (1215067931616).

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

506680966176 is a wasteful number, since it uses less digits than its factorization.

506680966176 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13016 (or 13008 counting only the distinct ones).

The product of its (nonzero) digits is 19595520, while the sum is 60.

The spelling of 506680966176 in words is "five hundred six billion, six hundred eighty million, nine hundred sixty-six thousand, one hundred seventy-six".