578980984464 has 45 divisors (see below), whose sum is σ = 1620368170473. Its totient is φ = 192990617856.

The previous prime is 578980984441. The next prime is 578980984471. The reversal of 578980984464 is 464489089875.

The square root of 578980984464 is 760908.

It is a perfect power (a square), and thus also a powerful number.

578980984464 is a `hidden beast` number, since 5 + 7 + 8 + 9 + 80 + 9 + 84 + 464 = 666.

578980984464 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 39637624464 + 539343360000 = 199092^2 + 734400^2 .

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 578980984392 and 578980984401.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 9099192 + ... + 9162600.

Almost surely, 2^578980984464 is an apocalyptic number.

578980984464 is the 760908-th square number.

It is an amenable number.

578980984464 is an abundant number, since it is smaller than the sum of its proper divisors (1041387186009).

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

578980984464 is an frugal number, since it uses more digits than its factorization.

578980984464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126832 (or 63414 counting only the distinct ones).

The product of its (nonzero) digits is 557383680, while the sum is 72.

The spelling of 578980984464 in words is "five hundred seventy-eight billion, nine hundred eighty million, nine hundred eighty-four thousand, four hundred sixty-four".