479841517568 has 384 divisors, whose sum is σ = 1180446303960. Its totient is φ = 194217246720.

The previous prime is 479841517559. The next prime is 479841517627. The reversal of 479841517568 is 865715148974.

It can be written as a sum of positive squares in 4 ways, for example, as 472287821824 + 7553695744 = 687232^2 + 86912^2 .

It is a super-2 number, since 2×479841517568² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2435743646 + ... + 2435743842.

Almost surely, 2^479841517568 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 479841517568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (590223151980).

479841517568 is an abundant number, since it is smaller than the sum of its proper divisors (700604786392).

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

479841517568 is an equidigital number, since it uses as much as digits as its factorization.

479841517568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 319 (or 284 counting only the distinct ones).

The product of its digits is 67737600, while the sum is 65.

The spelling of 479841517568 in words is "four hundred seventy-nine billion, eight hundred forty-one million, five hundred seventeen thousand, five hundred sixty-eight".