468605577941760 has 288 divisors, whose sum is σ = 1734500653304832. Its totient is φ = 105601256570880.

The previous prime is 468605577941747. The next prime is 468605577941771. The reversal of 468605577941760 is 67149775506864.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 120860839 + ... + 124677798.

It is an arithmetic number, because the mean of its divisors is an integer number (6022571712864).

Almost surely, 2^{468605577941760} is an apocalyptic number.

468605577941760 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

468605577941760 is an abundant number, since it is smaller than the sum of its proper divisors (1265895075363072).

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

468605577941760 is a wasteful number, since it uses less digits than its factorization.

468605577941760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 245538739 (or 245538725 counting only the distinct ones).

The product of its (nonzero) digits is 2133734400, while the sum is 75.

The spelling of 468605577941760 in words is "four hundred sixty-eight trillion, six hundred five billion, five hundred seventy-seven million, nine hundred forty-one thousand, seven hundred sixty".