480853642706724 has 192 divisors, whose sum is σ = 1322699583744000. Its totient is φ = 135894349938816.

The previous prime is 480853642706711. The next prime is 480853642706743. The reversal of 480853642706724 is 427607246358084.

It is a super-3 number, since 3×480853642706724³ (a number of 45 digits) contains 333 as substring.

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, 262441087 + ... + 264266969.

It is an arithmetic number, because the mean of its divisors is an integer number (6889060332000).

Almost surely, 2^{480853642706724} 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 480853642706724, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (661349791872000).

480853642706724 is an abundant number, since it is smaller than the sum of its proper divisors (841845941037276).

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

480853642706724 is a wasteful number, since it uses less digits than its factorization.

480853642706724 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1826607 (or 1826591 counting only the distinct ones).

The product of its (nonzero) digits is 433520640, while the sum is 66.

The spelling of 480853642706724 in words is "four hundred eighty trillion, eight hundred fifty-three billion, six hundred forty-two million, seven hundred six thousand, seven hundred twenty-four".