478418206080 has 512 divisors, whose sum is σ = 1610539200000. Its totient is φ = 120626085888.

The previous prime is 478418206037. The next prime is 478418206111. The reversal of 478418206080 is 80602814874.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 958753671 + ... + 958754169.

It is an arithmetic number, because the mean of its divisors is an integer number (3145584375).

Almost surely, 2^478418206080 is an apocalyptic number.

478418206080 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 478418206080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (805269600000).

478418206080 is an abundant number, since it is smaller than the sum of its proper divisors (1132120993920).

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

478418206080 is a wasteful number, since it uses less digits than its factorization.

478418206080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 874 (or 862 counting only the distinct ones).

The product of its (nonzero) digits is 688128, while the sum is 48.

The spelling of 478418206080 in words is "four hundred seventy-eight billion, four hundred eighteen million, two hundred six thousand, eighty".