480719559936000 has 3072 divisors, whose sum is σ = 2123572598784000. Its totient is φ = 95533498368000.

The previous prime is 480719559935999. The next prime is 480719559936029. The reversal of 480719559936000 is 639955917084.

It is a tau number, because it is divible by the number of its divisors (3072).

It is a super-3 number, since 3×480719559936000³ (a number of 45 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 66646268394 + ... + 66646275606.

It is an arithmetic number, because the mean of its divisors is an integer number (691267122000).

Almost surely, 2^{480719559936000} is an apocalyptic number.

480719559936000 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 480719559936000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1061786299392000).

480719559936000 is an abundant number, since it is smaller than the sum of its proper divisors (1642853038848000).

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

480719559936000 is a wasteful number, since it uses less digits than its factorization.

480719559936000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7308 (or 7264 counting only the distinct ones).

The product of its (nonzero) digits is 73483200, while the sum is 66.

The spelling of 480719559936000 in words is "four hundred eighty trillion, seven hundred nineteen billion, five hundred fifty-nine million, nine hundred thirty-six thousand".