478669175712 has 864 divisors, whose sum is σ = 1864188877824. Its totient is φ = 114960384000.

The previous prime is 478669175707. The next prime is 478669175773. The reversal of 478669175712 is 217571966874.

478669175712 is a `hidden beast` number, since 47 + 8 + 6 + 6 + 9 + 17 + 571 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 478669175712.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 96678837 + ... + 96683787.

It is an arithmetic number, because the mean of its divisors is an integer number (2157626016).

Almost surely, 2^478669175712 is an apocalyptic number.

478669175712 is a gapful number since it is divisible by the number (42) 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 478669175712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (932094438912).

478669175712 is an abundant number, since it is smaller than the sum of its proper divisors (1385519702112).

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

478669175712 is a wasteful number, since it uses less digits than its factorization.

478669175712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5042 (or 5024 counting only the distinct ones).

The product of its digits is 35562240, while the sum is 63.

The spelling of 478669175712 in words is "four hundred seventy-eight billion, six hundred sixty-nine million, one hundred seventy-five thousand, seven hundred twelve".