478855909559664 has 2880 divisors, whose sum is σ = 1820949451776000. Its totient is φ = 114130829869056.

The previous prime is 478855909559569. The next prime is 478855909559669. The reversal of 478855909559664 is 466955909558874.

478855909559664 is a `hidden beast` number, since 4 + 7 + 8 + 8 + 5 + 5 + 9 + 0 + 9 + 5 + 596 + 6 + 4 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (478855909559669) by changing a digit.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 3213798050662 + ... + 3213798050810.

It is an arithmetic number, because the mean of its divisors is an integer number (632274115200).

Almost surely, 2^{478855909559664} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 478855909559664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (910474725888000).

478855909559664 is an abundant number, since it is smaller than the sum of its proper divisors (1342093542216336).

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

478855909559664 is a wasteful number, since it uses less digits than its factorization.

478855909559664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 444 (or 392 counting only the distinct ones).

The product of its (nonzero) digits is 117573120000, while the sum is 90.

The spelling of 478855909559664 in words is "four hundred seventy-eight trillion, eight hundred fifty-five billion, nine hundred nine million, five hundred fifty-nine thousand, six hundred sixty-four".