478089310608000 has 7680 divisors, whose sum is σ = 2363386523097600. Its totient is φ = 93794136883200.

The previous prime is 478089310607999. The next prime is 478089310608037. The reversal of 478089310608000 is 806013980874.

478089310608000 is a `hidden beast` number, since 47 + 80 + 89 + 310 + 60 + 80 + 0 + 0 = 666.

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 959 ways as a sum of consecutive naturals, for example, 5760112175959 + ... + 5760112176041.

It is an arithmetic number, because the mean of its divisors is an integer number (307732620195).

Almost surely, 2^{478089310608000} is an apocalyptic number.

478089310608000 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 478089310608000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1181693261548800).

478089310608000 is an abundant number, since it is smaller than the sum of its proper divisors (1885297212489600).

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

478089310608000 is an equidigital number, since it uses as much as digits as its factorization.

478089310608000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 204 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 54.

The spelling of 478089310608000 in words is "four hundred seventy-eight trillion, eighty-nine billion, three hundred ten million, six hundred eight thousand".