479715312384000 has 8064 divisors, whose sum is σ = 2407051069113600. Its totient is φ = 94058496000000.

The previous prime is 479715312383959. The next prime is 479715312384037. The reversal of 479715312384000 is 483213517974.

479715312384000 is a `hidden beast` number, since 4 + 7 + 9 + 7 + 1 + 531 + 23 + 84 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (8064).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 671 ways as a sum of consecutive naturals, for example, 1911216383875 + ... + 1911216384125.

It is an arithmetic number, because the mean of its divisors is an integer number (298493436150).

Almost surely, 2^{479715312384000} is an apocalyptic number.

479715312384000 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 479715312384000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1203525534556800).

479715312384000 is an abundant number, since it is smaller than the sum of its proper divisors (1927335756729600).

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

479715312384000 is a wasteful number, since it uses less digits than its factorization.

479715312384000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 350 (or 298 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 54.

The spelling of 479715312384000 in words is "four hundred seventy-nine trillion, seven hundred fifteen billion, three hundred twelve million, three hundred eighty-four thousand".