478783327680 has 1344 divisors, whose sum is σ = 2063617920000. Its totient is φ = 105491828736.

The previous prime is 478783327643. The next prime is 478783327691. The reversal of 478783327680 is 86723387874.

478783327680 is a `hidden beast` number, since 478 + 7 + 83 + 3 + 2 + 7 + 6 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 773478411 + ... + 773479029.

It is an arithmetic number, because the mean of its divisors is an integer number (1535430000).

Almost surely, 2^478783327680 is an apocalyptic number.

478783327680 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 478783327680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1031808960000).

478783327680 is an abundant number, since it is smaller than the sum of its proper divisors (1584834592320).

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

478783327680 is an equidigital number, since it uses as much as digits as its factorization.

478783327680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 701 (or 665 counting only the distinct ones).

The product of its (nonzero) digits is 75866112, while the sum is 63.

The spelling of 478783327680 in words is "four hundred seventy-eight billion, seven hundred eighty-three million, three hundred twenty-seven thousand, six hundred eighty".