478998793728 has 1280 divisors, whose sum is σ = 1843262023680. Its totient is φ = 119439360000.

The previous prime is 478998793633. The next prime is 478998793747. The reversal of 478998793728 is 827397899874.

478998793728 is a `hidden beast` number, since 478 + 9 + 9 + 8 + 79 + 3 + 72 + 8 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

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 127 ways as a sum of consecutive naturals, for example, 1908361603 + ... + 1908361853.

It is an arithmetic number, because the mean of its divisors is an integer number (1440048456).

Almost surely, 2^478998793728 is an apocalyptic number.

478998793728 is a gapful number since it is divisible by the number (48) 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 478998793728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (921631011840).

478998793728 is an abundant number, since it is smaller than the sum of its proper divisors (1364263229952).

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

478998793728 is a wasteful number, since it uses less digits than its factorization.

478998793728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 376 (or 354 counting only the distinct ones).

The product of its digits is 3072577536, while the sum is 81.

The spelling of 478998793728 in words is "four hundred seventy-eight billion, nine hundred ninety-eight million, seven hundred ninety-three thousand, seven hundred twenty-eight".