579996488448 has 576 divisors, whose sum is σ = 1937589360000. Its totient is φ = 169890545664.

The previous prime is 579996488443. The next prime is 579996488471. The reversal of 579996488448 is 844884699975.

579996488448 is a `hidden beast` number, since 5 + 7 + 9 + 9 + 96 + 4 + 88 + 448 = 666.

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

It is a super-2 number, since 2×579996488448² (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (579996488443) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 190223628 + ... + 190226676.

Almost surely, 2^579996488448 is an apocalyptic number.

579996488448 is a gapful number since it is divisible by the number (58) 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 579996488448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (968794680000).

579996488448 is an abundant number, since it is smaller than the sum of its proper divisors (1357592871552).

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

579996488448 is a wasteful number, since it uses less digits than its factorization.

579996488448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3189 (or 3169 counting only the distinct ones).

The product of its digits is 5016453120, while the sum is 81.

The spelling of 579996488448 in words is "five hundred seventy-nine billion, nine hundred ninety-six million, four hundred eighty-eight thousand, four hundred forty-eight".