480380666688 has 336 divisors, whose sum is σ = 1540510162560. Its totient is φ = 146718314496.

The previous prime is 480380666683. The next prime is 480380666719. The reversal of 480380666688 is 886666083084.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (480380666683) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 40002381 + ... + 40014387.

Almost surely, 2^480380666688 is an apocalyptic number.

480380666688 is a gapful number since it is divisible by the number (48) 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 480380666688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (770255081280).

480380666688 is an abundant number, since it is smaller than the sum of its proper divisors (1060129495872).

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

480380666688 is a wasteful number, since it uses less digits than its factorization.

480380666688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12191 (or 12162 counting only the distinct ones).

The product of its (nonzero) digits is 63700992, while the sum is 63.

The spelling of 480380666688 in words is "four hundred eighty billion, three hundred eighty million, six hundred sixty-six thousand, six hundred eighty-eight".