478865368800 has 576 divisors, whose sum is σ = 2131573570560. Its totient is φ = 101034915840.

The previous prime is 478865368799. The next prime is 478865368847. The reversal of 478865368800 is 8863568874.

478865368800 is a `hidden beast` number, since 478 + 86 + 5 + 3 + 6 + 8 + 80 + 0 = 666.

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 95 ways as a sum of consecutive naturals, for example, 1843789 + ... + 2087411.

It is an arithmetic number, because the mean of its divisors is an integer number (3700648560).

Almost surely, 2^478865368800 is an apocalyptic number.

478865368800 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 478865368800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1065786785280).

478865368800 is an abundant number, since it is smaller than the sum of its proper divisors (1652708201760).

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

478865368800 is a wasteful number, since it uses less digits than its factorization.

478865368800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 243672 (or 243653 counting only the distinct ones).

The product of its (nonzero) digits is 61931520, while the sum is 63.

The spelling of 478865368800 in words is "four hundred seventy-eight billion, eight hundred sixty-five million, three hundred sixty-eight thousand, eight hundred".