578168346240 has 1152 divisors, whose sum is σ = 2297027678400. Its totient is φ = 133166923776.

The previous prime is 578168346193. The next prime is 578168346251. The reversal of 578168346240 is 42643861875.

It is a happy number.

578168346240 is a `hidden beast` number, since 5 + 7 + 8 + 1 + 6 + 8 + 3 + 4 + 624 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2546997007 + ... + 2546997233.

Almost surely, 2^578168346240 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 578168346240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1148513839200).

578168346240 is an abundant number, since it is smaller than the sum of its proper divisors (1718859332160).

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

578168346240 is a wasteful number, since it uses less digits than its factorization.

578168346240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 362 (or 310 counting only the distinct ones).

The product of its (nonzero) digits is 7741440, while the sum is 54.

The spelling of 578168346240 in words is "five hundred seventy-eight billion, one hundred sixty-eight million, three hundred forty-six thousand, two hundred forty".