578668608000 has 480 divisors, whose sum is σ = 2382023255040. Its totient is φ = 132266188800.

The previous prime is 578668607983. The next prime is 578668608043. The reversal of 578668608000 is 806866875.

578668608000 is a `hidden beast` number, since 578 + 6 + 6 + 8 + 60 + 8 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3960241 + ... + 4103759.

It is an arithmetic number, because the mean of its divisors is an integer number (4962548448).

Almost surely, 2^578668608000 is an apocalyptic number.

578668608000 is a gapful number since it is divisible by the number (50) 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 578668608000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1191011627520).

578668608000 is an abundant number, since it is smaller than the sum of its proper divisors (1803354647040).

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

578668608000 is a wasteful number, since it uses less digits than its factorization.

578668608000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143565 (or 143536 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 54.

The spelling of 578668608000 in words is "five hundred seventy-eight billion, six hundred sixty-eight million, six hundred eight thousand".