468174130504640 has 112 divisors (see below), whose sum is σ = 1274116323260352. Its totient is φ = 160515097583616.

The previous prime is 468174130504627. The next prime is 468174130504657. The reversal of 468174130504640 is 46405031471864.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 213764564 + ... + 215943596.

Almost surely, 2^{468174130504640} is an apocalyptic number.

468174130504640 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

468174130504640 is an abundant number, since it is smaller than the sum of its proper divisors (805942192755712).

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

468174130504640 is a wasteful number, since it uses less digits than its factorization.

468174130504640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2274974 (or 2274964 counting only the distinct ones).

The product of its (nonzero) digits is 7741440, while the sum is 53.

The spelling of 468174130504640 in words is "four hundred sixty-eight trillion, one hundred seventy-four billion, one hundred thirty million, five hundred four thousand, six hundred forty".