478214077824 has 576 divisors, whose sum is σ = 1757816620560. Its totient is φ = 128588414976.

The previous prime is 478214077819. The next prime is 478214077843. The reversal of 478214077824 is 428770412874.

478214077824 is a `hidden beast` number, since 478 + 2 + 140 + 7 + 7 + 8 + 24 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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

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 71 ways as a sum of consecutive naturals, for example, 25900404 + ... + 25918860.

Almost surely, 2^478214077824 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 478214077824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (878908310280).

478214077824 is an abundant number, since it is smaller than the sum of its proper divisors (1279602542736).

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

478214077824 is a wasteful number, since it uses less digits than its factorization.

478214077824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18517 (or 18486 counting only the distinct ones).

The product of its (nonzero) digits is 5619712, while the sum is 54.

The spelling of 478214077824 in words is "four hundred seventy-eight billion, two hundred fourteen million, seventy-seven thousand, eight hundred twenty-four".