479841360768 has 576 divisors, whose sum is σ = 1757734992000. Its totient is φ = 124244305920.

The previous prime is 479841360767. The next prime is 479841360827. The reversal of 479841360768 is 867063148974.

479841360768 is a `hidden beast` number, since 4 + 7 + 9 + 8 + 4 + 13 + 607 + 6 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (479841360767) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 235330693 + ... + 235332731.

It is an arithmetic number, because the mean of its divisors is an integer number (3051623250).

Almost surely, 2^479841360768 is an apocalyptic number.

479841360768 is a gapful number since it is divisible by the number (48) 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 479841360768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (878867496000).

479841360768 is an abundant number, since it is smaller than the sum of its proper divisors (1277893631232).

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

479841360768 is a wasteful number, since it uses less digits than its factorization.

479841360768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2463 (or 2441 counting only the distinct ones).

The product of its (nonzero) digits is 48771072, while the sum is 63.

The spelling of 479841360768 in words is "four hundred seventy-nine billion, eight hundred forty-one million, three hundred sixty thousand, seven hundred sixty-eight".