4563678817728 has 336 divisors, whose sum is σ = 13510211719680. Its totient is φ = 1472304384000.

The previous prime is 4563678817727. The next prime is 4563678817799. The reversal of 4563678817728 is 8277188763654.

4563678817728 is a `hidden beast` number, since 456 + 3 + 6 + 7 + 8 + 81 + 77 + 28 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4563678817721) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 567688333 + ... + 567696371.

Almost surely, 2^{4563678817728} is an apocalyptic number.

4563678817728 is a gapful number since it is divisible by the number (48) 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 4563678817728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6755105859840).

4563678817728 is an abundant number, since it is smaller than the sum of its proper divisors (8946532901952).

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

4563678817728 is a wasteful number, since it uses less digits than its factorization.

4563678817728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8376 (or 8363 counting only the distinct ones).

The product of its digits is 758661120, while the sum is 72.

The spelling of 4563678817728 in words is "four trillion, five hundred sixty-three billion, six hundred seventy-eight million, eight hundred seventeen thousand, seven hundred twenty-eight".