478263764160 has 2016 divisors, whose sum is σ = 2197926162432. Its totient is φ = 92804382720.

The previous prime is 478263764131. The next prime is 478263764233. The reversal of 478263764160 is 61467362874.

478263764160 is a `hidden beast` number, since 478 + 2 + 6 + 3 + 7 + 6 + 4 + 160 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

It is a junction number, because it is equal to n+sod(n) for n = 478263764097 and 478263764106.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 11122413099 + ... + 11122413141.

It is an arithmetic number, because the mean of its divisors is an integer number (1090241152).

Almost surely, 2^478263764160 is an apocalyptic number.

478263764160 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 478263764160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1098963081216).

478263764160 is an abundant number, since it is smaller than the sum of its proper divisors (1719662398272).

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

478263764160 is a wasteful number, since it uses less digits than its factorization.

478263764160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 191 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 8128512, while the sum is 54.

The spelling of 478263764160 in words is "four hundred seventy-eight billion, two hundred sixty-three million, seven hundred sixty-four thousand, one hundred sixty".