4568060072800 has 144 divisors (see below), whose sum is σ = 12782711541600. Its totient is φ = 1561543925760.

The previous prime is 4568060072773. The next prime is 4568060072831. The reversal of 4568060072800 is 82700608654.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 676926 + ... + 3097474.

It is an arithmetic number, because the mean of its divisors is an integer number (88768830150).

Almost surely, 2^{4568060072800} is an apocalyptic number.

4568060072800 is a gapful number since it is divisible by the number (40) 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 4568060072800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6391355770800).

4568060072800 is an abundant number, since it is smaller than the sum of its proper divisors (8214651468800).

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

4568060072800 is a wasteful number, since it uses less digits than its factorization.

4568060072800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2420913 (or 2420900 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 46.

The spelling of 4568060072800 in words is "four trillion, five hundred sixty-eight billion, sixty million, seventy-two thousand, eight hundred".