468476747674864 has 160 divisors (see below), whose sum is σ = 976347509760000. Its totient is φ = 217092784119552.

The previous prime is 468476747674781. The next prime is 468476747674907.

468476747674864 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×468476747674864² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

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, 9767437347 + ... + 9767485309.

It is an arithmetic number, because the mean of its divisors is an integer number (6102171936000).

Almost surely, 2^{468476747674864} 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 468476747674864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (488173754880000).

468476747674864 is an abundant number, since it is smaller than the sum of its proper divisors (507870762085136).

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

468476747674864 is a wasteful number, since it uses less digits than its factorization.

468476747674864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50675 (or 50669 counting only the distinct ones).

The product of its digits is 203928109056, while the sum is 88.

The spelling of 468476747674864 in words is "four hundred sixty-eight trillion, four hundred seventy-six billion, seven hundred forty-seven million, six hundred seventy-four thousand, eight hundred sixty-four".