480847708734759 has 24 divisors (see below), whose sum is σ = 697551387081120. Its totient is φ = 319183534182912.

The previous prime is 480847708734739. The next prime is 480847708734761. The reversal of 480847708734759 is 957437807748084.

480847708734759 is a `hidden beast` number, since 4 + 8 + 0 + 8 + 4 + 7 + 70 + 8 + 73 + 475 + 9 = 666.

It is not a de Polignac number, because 480847708734759 - 2³⁶ = 480778989258023 is a prime.

It is a super-3 number, since 3×480847708734759³ (a number of 45 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (480847708734739) 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, 115147822 + ... + 119250644.

It is an arithmetic number, because the mean of its divisors is an integer number (29064641128380).

Almost surely, 2^{480847708734759} is an apocalyptic number.

480847708734759 is a deficient number, since it is larger than the sum of its proper divisors (216703678346361).

480847708734759 is a wasteful number, since it uses less digits than its factorization.

480847708734759 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4158951 (or 4158948 counting only the distinct ones).

The product of its (nonzero) digits is 10621255680, while the sum is 81.

The spelling of 480847708734759 in words is "four hundred eighty trillion, eight hundred forty-seven billion, seven hundred eight million, seven hundred thirty-four thousand, seven hundred fifty-nine".