468768560260 has 384 divisors, whose sum is σ = 1370141982720. Its totient is φ = 129967718400.

The previous prime is 468768560203. The next prime is 468768560303. The reversal of 468768560260 is 62065867864.

It is a junction number, because it is equal to n+sod(n) for n = 468768560195 and 468768560204.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 159497871 + ... + 159500809.

It is an arithmetic number, because the mean of its divisors is an integer number (3568078080).

Almost surely, 2^468768560260 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 468768560260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (685070991360).

468768560260 is an abundant number, since it is smaller than the sum of its proper divisors (901373422460).

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

468768560260 is a wasteful number, since it uses less digits than its factorization.

468768560260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3267 (or 3265 counting only the distinct ones).

The product of its (nonzero) digits is 23224320, while the sum is 58.

The spelling of 468768560260 in words is "four hundred sixty-eight billion, seven hundred sixty-eight million, five hundred sixty thousand, two hundred sixty".