480807643008 has 384 divisors, whose sum is σ = 1645403224320. Its totient is φ = 120849408000.

The previous prime is 480807642947. The next prime is 480807643021. The reversal of 480807643008 is 800346708084.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-3 number, since 3×480807643008³ (a number of 36 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 28406388 + ... + 28423308.

It is an arithmetic number, because the mean of its divisors is an integer number (4284904230).

Almost surely, 2^480807643008 is an apocalyptic number.

480807643008 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 480807643008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (822701612160).

480807643008 is an abundant number, since it is smaller than the sum of its proper divisors (1164595581312).

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

480807643008 is a wasteful number, since it uses less digits than its factorization.

480807643008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17018 (or 16975 counting only the distinct ones).

The product of its (nonzero) digits is 1032192, while the sum is 48.

The spelling of 480807643008 in words is "four hundred eighty billion, eight hundred seven million, six hundred forty-three thousand, eight".