478279612800 has 1152 divisors, whose sum is σ = 1975061088000. Its totient is φ = 108988416000.

The previous prime is 478279612793. The next prime is 478279612801. The reversal of 478279612800 is 8216972874.

It is a happy number.

478279612800 is a `hidden beast` number, since 478 + 2 + 7 + 96 + 1 + 2 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (478279612801) by changing a digit.

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 143 ways as a sum of consecutive naturals, for example, 1089474981 + ... + 1089475419.

It is an arithmetic number, because the mean of its divisors is an integer number (1714462750).

Almost surely, 2^478279612800 is an apocalyptic number.

478279612800 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 478279612800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (987530544000).

478279612800 is an abundant number, since it is smaller than the sum of its proper divisors (1496781475200).

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

478279612800 is a wasteful number, since it uses less digits than its factorization.

478279612800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 680 (or 660 counting only the distinct ones).

The product of its (nonzero) digits is 2709504, while the sum is 54.

The spelling of 478279612800 in words is "four hundred seventy-eight billion, two hundred seventy-nine million, six hundred twelve thousand, eight hundred".