578560367616 has 1408 divisors, whose sum is σ = 2195903692800. Its totient is φ = 130799370240.

The previous prime is 578560367579. The next prime is 578560367621. The reversal of 578560367616 is 616763065875.

It is a tau number, because it is divible by the number of its divisors (1408).

It is a super-2 number, since 2×578560367616² (a number of 24 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 578560367616.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2997722016 + ... + 2997722208.

Almost surely, 2^578560367616 is an apocalyptic number.

578560367616 is a gapful number since it is divisible by the number (56) 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 578560367616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1097951846400).

578560367616 is an abundant number, since it is smaller than the sum of its proper divisors (1617343325184).

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

578560367616 is a wasteful number, since it uses less digits than its factorization.

578560367616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 305 (or 287 counting only the distinct ones).

The product of its (nonzero) digits is 38102400, while the sum is 60.

The spelling of 578560367616 in words is "five hundred seventy-eight billion, five hundred sixty million, three hundred sixty-seven thousand, six hundred sixteen".