478680238080 has 1152 divisors, whose sum is σ = 1888862976000. Its totient is φ = 111105146880.

The previous prime is 478680238063. The next prime is 478680238177. The reversal of 478680238080 is 80832086874.

478680238080 is a `hidden beast` number, since 478 + 68 + 0 + 2 + 38 + 0 + 80 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3443742651 + ... + 3443742789.

It is an arithmetic number, because the mean of its divisors is an integer number (1639638000).

Almost surely, 2^478680238080 is an apocalyptic number.

478680238080 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 478680238080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (944431488000).

478680238080 is an abundant number, since it is smaller than the sum of its proper divisors (1410182737920).

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

478680238080 is a wasteful number, since it uses less digits than its factorization.

478680238080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 305 (or 282 counting only the distinct ones).

The product of its (nonzero) digits is 4128768, while the sum is 54.

The spelling of 478680238080 in words is "four hundred seventy-eight billion, six hundred eighty million, two hundred thirty-eight thousand, eighty".