478291806720 has 2880 divisors, whose sum is σ = 2310660608256. Its totient is φ = 93640458240.

The previous prime is 478291806701. The next prime is 478291806779. The reversal of 478291806720 is 27608192874.

It is a happy number.

478291806720 is a `hidden beast` number, since 478 + 2 + 91 + 8 + 0 + 67 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

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

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, 6736504285 + ... + 6736504355.

Almost surely, 2^478291806720 is an apocalyptic number.

478291806720 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 478291806720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1155330304128).

478291806720 is an abundant number, since it is smaller than the sum of its proper divisors (1832368801536).

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

478291806720 is a wasteful number, since it uses less digits than its factorization.

478291806720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153 (or 118 counting only the distinct ones).

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

The spelling of 478291806720 in words is "four hundred seventy-eight billion, two hundred ninety-one million, eight hundred six thousand, seven hundred twenty".