468818038080 has 896 divisors, whose sum is σ = 2009865830400. Its totient is φ = 100549582848.

The previous prime is 468818038079. The next prime is 468818038093. The reversal of 468818038080 is 80830818864.

468818038080 is a `hidden beast` number, since 4 + 6 + 8 + 8 + 180 + 380 + 80 = 666.

468818038080 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 73721941 + ... + 73728299.

Almost surely, 2^468818038080 is an apocalyptic number.

468818038080 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 468818038080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1004932915200).

468818038080 is an abundant number, since it is smaller than the sum of its proper divisors (1541047792320).

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

468818038080 is a wasteful number, since it uses less digits than its factorization.

468818038080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6468 (or 6452 counting only the distinct ones).

The product of its (nonzero) digits is 2359296, while the sum is 54.

The spelling of 468818038080 in words is "four hundred sixty-eight billion, eight hundred eighteen million, thirty-eight thousand, eighty".