468232507360380 has 192 divisors, whose sum is σ = 1547916088320000. Its totient is φ = 103489239859200.

The previous prime is 468232507360363. The next prime is 468232507360381. The reversal of 468232507360380 is 83063705232864.

It is a self number, because there is not a number n which added to its sum of digits gives 468232507360380.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (468232507360381) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1865440 + ... + 30658520.

It is an arithmetic number, because the mean of its divisors is an integer number (8062062960000).

Almost surely, 2^{468232507360380} 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 468232507360380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (773958044160000).

468232507360380 is an abundant number, since it is smaller than the sum of its proper divisors (1079683580959620).

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

468232507360380 is a wasteful number, since it uses less digits than its factorization.

468232507360380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28794380 (or 28794378 counting only the distinct ones).

The product of its (nonzero) digits is 34836480, while the sum is 57.

The spelling of 468232507360380 in words is "four hundred sixty-eight trillion, two hundred thirty-two billion, five hundred seven million, three hundred sixty thousand, three hundred eighty".