468705474080 has 144 divisors (see below), whose sum is σ = 1181202119496. Its totient is φ = 175146762240.

The previous prime is 468705474077. The next prime is 468705474103. The reversal of 468705474080 is 80474507864.

It can be written as a sum of positive squares in 12 ways, for example, as 163387340944 + 305318133136 = 404212^2 + 552556^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 51047090 + ... + 51056270.

Almost surely, 2^468705474080 is an apocalyptic number.

468705474080 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 468705474080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (590601059748).

468705474080 is an abundant number, since it is smaller than the sum of its proper divisors (712496645416).

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

468705474080 is a wasteful number, since it uses less digits than its factorization.

468705474080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9487 (or 9342 counting only the distinct ones).

The product of its (nonzero) digits is 6021120, while the sum is 53.

The spelling of 468705474080 in words is "four hundred sixty-eight billion, seven hundred five million, four hundred seventy-four thousand, eighty".