468345346560 has 720 divisors, whose sum is σ = 2007407660544. Its totient is φ = 98809970688.

The previous prime is 468345346459. The next prime is 468345346589. The reversal of 468345346560 is 65643543864.

468345346560 is a `hidden beast` number, since 4 + 6 + 8 + 3 + 45 + 34 + 6 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a junction number, because it is equal to n+sod(n) for n = 468345346497 and 468345346506.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 27247729 + ... + 27264911.

Almost surely, 2^468345346560 is an apocalyptic number.

468345346560 is a gapful number since it is divisible by the number (40) 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 468345346560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1003703830272).

468345346560 is an abundant number, since it is smaller than the sum of its proper divisors (1539062313984).

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

468345346560 is a wasteful number, since it uses less digits than its factorization.

468345346560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17245 (or 17213 counting only the distinct ones).

The product of its (nonzero) digits is 24883200, while the sum is 54.

The spelling of 468345346560 in words is "four hundred sixty-eight billion, three hundred forty-five million, three hundred forty-six thousand, five hundred sixty".