468804672096 has 48 divisors (see below), whose sum is σ = 1231136299008. Its totient is φ = 156201680000.

The previous prime is 468804672023. The next prime is 468804672097. The reversal of 468804672096 is 690276408864.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (468804672097) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 812880 + ... + 1264271.

It is an arithmetic number, because the mean of its divisors is an integer number (25648672896).

Almost surely, 2^468804672096 is an apocalyptic number.

It is an amenable number.

468804672096 is an abundant number, since it is smaller than the sum of its proper divisors (762331626912).

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

468804672096 is a wasteful number, since it uses less digits than its factorization.

468804672096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2079515 (or 2079507 counting only the distinct ones).

The product of its (nonzero) digits is 27869184, while the sum is 60.

The spelling of 468804672096 in words is "four hundred sixty-eight billion, eight hundred four million, six hundred seventy-two thousand, ninety-six".