578360467440 has 480 divisors, whose sum is σ = 2318457323520. Its totient is φ = 126332135424.

The previous prime is 578360467423. The next prime is 578360467441. The reversal of 578360467440 is 44764063875.

578360467440 is a `hidden beast` number, since 5 + 7 + 83 + 60 + 4 + 67 + 440 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (578360467441) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 200887921 + ... + 200890799.

It is an arithmetic number, because the mean of its divisors is an integer number (4830119424).

Almost surely, 2^578360467440 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 578360467440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1159228661760).

578360467440 is an abundant number, since it is smaller than the sum of its proper divisors (1740096856080).

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

578360467440 is a wasteful number, since it uses less digits than its factorization.

578360467440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4661 (or 4652 counting only the distinct ones).

The product of its (nonzero) digits is 13547520, while the sum is 54.

The spelling of 578360467440 in words is "five hundred seventy-eight billion, three hundred sixty million, four hundred sixty-seven thousand, four hundred forty".