487473819768 has 288 divisors, whose sum is σ = 1486656512640. Its totient is φ = 144078704640.

The previous prime is 487473819761. The next prime is 487473819779. The reversal of 487473819768 is 867918374784.

487473819768 is a `hidden beast` number, since 4 + 8 + 7 + 473 + 8 + 1 + 97 + 68 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 487473819696 and 487473819705.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (487473819761) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 51672780 + ... + 51682212.

It is an arithmetic number, because the mean of its divisors is an integer number (5162001780).

Almost surely, 2^487473819768 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 487473819768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (743328256320).

487473819768 is an abundant number, since it is smaller than the sum of its proper divisors (999182692872).

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

487473819768 is a wasteful number, since it uses less digits than its factorization.

487473819768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9639 (or 9619 counting only the distinct ones).

The product of its digits is 455196672, while the sum is 72.

The spelling of 487473819768 in words is "four hundred eighty-seven billion, four hundred seventy-three million, eight hundred nineteen thousand, seven hundred sixty-eight".