578976872460 has 768 divisors, whose sum is σ = 2033482752000. Its totient is φ = 122789302272.

The previous prime is 578976872443. The next prime is 578976872471. The reversal of 578976872460 is 64278679875.

578976872460 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 3466927297 + ... + 3466927463.

It is an arithmetic number, because the mean of its divisors is an integer number (2647764000).

Almost surely, 2^578976872460 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 578976872460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1016741376000).

578976872460 is an abundant number, since it is smaller than the sum of its proper divisors (1454505879540).

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

578976872460 is a wasteful number, since it uses less digits than its factorization.

578976872460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 423 (or 407 counting only the distinct ones).

The product of its (nonzero) digits is 284497920, while the sum is 69.

The spelling of 578976872460 in words is "five hundred seventy-eight billion, nine hundred seventy-six million, eight hundred seventy-two thousand, four hundred sixty".