578050304832 has 1344 divisors, whose sum is σ = 2308269809664. Its totient is φ = 133488967680.

The previous prime is 578050304789. The next prime is 578050304849. The reversal of 578050304832 is 238403050875.

578050304832 is a `hidden beast` number, since 5 + 78 + 0 + 503 + 0 + 48 + 32 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2249222848 + ... + 2249223104.

It is an arithmetic number, because the mean of its divisors is an integer number (1717462656).

Almost surely, 2^578050304832 is an apocalyptic number.

578050304832 is a gapful number since it is divisible by the number (52) 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 578050304832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1154134904832).

578050304832 is an abundant number, since it is smaller than the sum of its proper divisors (1730219504832).

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

578050304832 is a wasteful number, since it uses less digits than its factorization.

578050304832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 436 (or 423 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 45.

The spelling of 578050304832 in words is "five hundred seventy-eight billion, fifty million, three hundred four thousand, eight hundred thirty-two".