578941764480 has 384 divisors, whose sum is σ = 2071704211200. Its totient is φ = 148800798720.

The previous prime is 578941764433. The next prime is 578941764491. The reversal of 578941764480 is 84467149875.

578941764480 is a `hidden beast` number, since 5 + 7 + 8 + 94 + 1 + 7 + 64 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a congruent number.

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, 107069937 + ... + 107075343.

It is an arithmetic number, because the mean of its divisors is an integer number (5395063050).

Almost surely, 2^578941764480 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 578941764480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1035852105600).

578941764480 is an abundant number, since it is smaller than the sum of its proper divisors (1492762446720).

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

578941764480 is a wasteful number, since it uses less digits than its factorization.

578941764480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6102 (or 6087 counting only the distinct ones).

The product of its (nonzero) digits is 54190080, while the sum is 63.

The spelling of 578941764480 in words is "five hundred seventy-eight billion, nine hundred forty-one million, seven hundred sixty-four thousand, four hundred eighty".