480186319680 has 672 divisors, whose sum is σ = 1780450234368. Its totient is φ = 118543564800.

The previous prime is 480186319663. The next prime is 480186319687. The reversal of 480186319680 is 86913681084.

480186319680 is a `hidden beast` number, since 480 + 1 + 86 + 3 + 1 + 9 + 6 + 80 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (480186319687) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 201503769 + ... + 201506151.

Almost surely, 2^480186319680 is an apocalyptic number.

480186319680 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 480186319680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (890225117184).

480186319680 is an abundant number, since it is smaller than the sum of its proper divisors (1300263914688).

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

480186319680 is a wasteful number, since it uses less digits than its factorization.

480186319680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2535 (or 2522 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 54.

The spelling of 480186319680 in words is "four hundred eighty billion, one hundred eighty-six million, three hundred nineteen thousand, six hundred eighty".