478708160716800 has 3360 divisors, whose sum is σ = 2122670301548544. Its totient is φ = 104342224896000.

The previous prime is 478708160716763. The next prime is 478708160716817. The reversal of 478708160716800 is 8617061807874.

478708160716800 is a `hidden beast` number, since 4 + 7 + 8 + 7 + 0 + 8 + 1 + 607 + 16 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3360).

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 polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 255583640664 + ... + 255583642536.

Almost surely, 2^{478708160716800} is an apocalyptic number.

478708160716800 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 478708160716800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1061335150774272).

478708160716800 is an abundant number, since it is smaller than the sum of its proper divisors (1643962140831744).

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

478708160716800 is a wasteful number, since it uses less digits than its factorization.

478708160716800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2030 (or 1992 counting only the distinct ones).

The product of its (nonzero) digits is 25288704, while the sum is 63.

The spelling of 478708160716800 in words is "four hundred seventy-eight trillion, seven hundred eight billion, one hundred sixty million, seven hundred sixteen thousand, eight hundred".