480724011576 has 96 divisors (see below), whose sum is σ = 1310768287920. Its totient is φ = 159159168000.

The previous prime is 480724011571. The next prime is 480724011589. The reversal of 480724011576 is 675110427084.

480724011576 is a `hidden beast` number, since 4 + 8 + 0 + 72 + 4 + 0 + 1 + 1 + 576 = 666.

It is a super-3 number, since 3×480724011576³ (a number of 36 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (480724011571) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13072896 + ... + 13109616.

Almost surely, 2^480724011576 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 480724011576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (655384143960).

480724011576 is an abundant number, since it is smaller than the sum of its proper divisors (830044276344).

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

480724011576 is a wasteful number, since it uses less digits than its factorization.

480724011576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37957 (or 37950 counting only the distinct ones).

The product of its (nonzero) digits is 376320, while the sum is 45.

The spelling of 480724011576 in words is "four hundred eighty billion, seven hundred twenty-four million, eleven thousand, five hundred seventy-six".