480347781120 has 768 divisors, whose sum is σ = 1755241488000. Its totient is φ = 126127964160.

The previous prime is 480347781107. The next prime is 480347781149. The reversal of 480347781120 is 21187743084.

480347781120 is a `hidden beast` number, since 4 + 80 + 3 + 477 + 81 + 1 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1993144200 + ... + 1993144440.

Almost surely, 2^480347781120 is an apocalyptic number.

480347781120 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 480347781120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (877620744000).

480347781120 is an abundant number, since it is smaller than the sum of its proper divisors (1274893706880).

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

480347781120 is an frugal number, since it uses more digits than its factorization.

480347781120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 378 (or 340 counting only the distinct ones).

The product of its (nonzero) digits is 301056, while the sum is 45.

The spelling of 480347781120 in words is "four hundred eighty billion, three hundred forty-seven million, seven hundred eighty-one thousand, one hundred twenty".