479318235955200 has 2880 divisors, whose sum is σ = 1920959450726400. Its totient is φ = 116816294707200.

The previous prime is 479318235955187. The next prime is 479318235955201. The reversal of 479318235955200 is 2559532813974.

479318235955200 is a `hidden beast` number, since 4 + 7 + 9 + 3 + 1 + 8 + 23 + 59 + 552 + 0 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (479318235955201) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 701783654059 + ... + 701783654741.

It is an arithmetic number, because the mean of its divisors is an integer number (666999809280).

Almost surely, 2^{479318235955200} is an apocalyptic number.

479318235955200 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 479318235955200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (960479725363200).

479318235955200 is an abundant number, since it is smaller than the sum of its proper divisors (1441641214771200).

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

479318235955200 is a wasteful number, since it uses less digits than its factorization.

479318235955200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 873 (or 836 counting only the distinct ones).

The product of its (nonzero) digits is 81648000, while the sum is 63.

The spelling of 479318235955200 in words is "four hundred seventy-nine trillion, three hundred eighteen billion, two hundred thirty-five million, nine hundred fifty-five thousand, two hundred".