478529316864 has 288 divisors, whose sum is σ = 1436322888000. Its totient is φ = 159388839936.

The previous prime is 478529316857. The next prime is 478529316907. The reversal of 478529316864 is 468613925874.

478529316864 is a `hidden beast` number, since 4 + 78 + 529 + 31 + 6 + 8 + 6 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 362796397 + ... + 362797715.

It is an arithmetic number, because the mean of its divisors is an integer number (4987232250).

Almost surely, 2^478529316864 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 478529316864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (718161444000).

478529316864 is an abundant number, since it is smaller than the sum of its proper divisors (957793571136).

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

478529316864 is an frugal number, since it uses more digits than its factorization.

478529316864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1374 (or 1324 counting only the distinct ones).

The product of its digits is 69672960, while the sum is 63.

The spelling of 478529316864 in words is "four hundred seventy-eight billion, five hundred twenty-nine million, three hundred sixteen thousand, eight hundred sixty-four".