480709334016 has 528 divisors, whose sum is σ = 1604604980160. Its totient is φ = 142849474560.

The previous prime is 480709334003. The next prime is 480709334069. The reversal of 480709334016 is 610433907084.

480709334016 is a `hidden beast` number, since 480 + 70 + 93 + 3 + 4 + 0 + 16 = 666.

It is a super-3 number, since 3×480709334016³ (a number of 36 digits) contains 333 as substring.

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, 80369746 + ... + 80375726.

Almost surely, 2^480709334016 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 480709334016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (802302490080).

480709334016 is an abundant number, since it is smaller than the sum of its proper divisors (1123895646144).

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

480709334016 is a wasteful number, since it uses less digits than its factorization.

480709334016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6052 (or 6022 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 480709334016 in words is "four hundred eighty billion, seven hundred nine million, three hundred thirty-four thousand, sixteen".