579471978240 has 720 divisors, whose sum is σ = 2113919778432. Its totient is φ = 151544659968.

The previous prime is 579471978187. The next prime is 579471978257. The reversal of 579471978240 is 42879174975.

579471978240 is a `hidden beast` number, since 5 + 79 + 471 + 9 + 78 + 24 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1578942537 + ... + 1578942903.

Almost surely, 2^579471978240 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 579471978240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1056959889216).

579471978240 is an abundant number, since it is smaller than the sum of its proper divisors (1534447800192).

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

579471978240 is a wasteful number, since it uses less digits than its factorization.

579471978240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 654 (or 631 counting only the distinct ones).

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

The spelling of 579471978240 in words is "five hundred seventy-nine billion, four hundred seventy-one million, nine hundred seventy-eight thousand, two hundred forty".