479784604320 has 2304 divisors, whose sum is σ = 2189495992320. Its totient is φ = 96745881600.

The previous prime is 479784604319. The next prime is 479784604331. The reversal of 479784604320 is 23406487974.

479784604320 is a `hidden beast` number, since 4 + 7 + 9 + 7 + 8 + 4 + 604 + 3 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 6572391804 + ... + 6572391876.

It is an arithmetic number, because the mean of its divisors is an integer number (950302080).

Almost surely, 2^479784604320 is an apocalyptic number.

479784604320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 479784604320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1094747996160).

479784604320 is an abundant number, since it is smaller than the sum of its proper divisors (1709711388000).

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

479784604320 is a wasteful number, since it uses less digits than its factorization.

479784604320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 201 (or 181 counting only the distinct ones).

The product of its (nonzero) digits is 8128512, while the sum is 54.

The spelling of 479784604320 in words is "four hundred seventy-nine billion, seven hundred eighty-four million, six hundred four thousand, three hundred twenty".