4392564648576 has 256 divisors, whose sum is σ = 12925739635200. Its totient is φ = 1313061765120.

The previous prime is 4392564648557. The next prime is 4392564648581. The reversal of 4392564648576 is 6758464652934.

4392564648576 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 4392564648576.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 48871710 + ... + 48961506.

It is an arithmetic number, because the mean of its divisors is an integer number (50491170450).

Almost surely, 2^{4392564648576} 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 4392564648576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6462869817600).

4392564648576 is an abundant number, since it is smaller than the sum of its proper divisors (8533174986624).

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

4392564648576 is a wasteful number, since it uses less digits than its factorization.

4392564648576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90107 (or 90095 counting only the distinct ones).

The product of its digits is 1045094400, while the sum is 69.

The spelling of 4392564648576 in words is "four trillion, three hundred ninety-two billion, five hundred sixty-four million, six hundred forty-eight thousand, five hundred seventy-six".