4668284544 has 384 divisors, whose sum is σ = 16114237440. Its totient is φ = 1170892800.

The previous prime is 4668284521. The next prime is 4668284549. The reversal of 4668284544 is 4454828664.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (384).

It is not an unprimeable number, because it can be changed into a prime (4668284549) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10082457 + ... + 10082919.

It is an arithmetic number, because the mean of its divisors is an integer number (41964160).

Almost surely, 2^4668284544 is an apocalyptic number.

4668284544 is a gapful number since it is divisible by the number (44) 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 4668284544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8057118720).

4668284544 is an abundant number, since it is smaller than the sum of its proper divisors (11445952896).

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

4668284544 is a wasteful number, since it uses less digits than its factorization.

4668284544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 540 (or 517 counting only the distinct ones).

The product of its digits is 5898240, while the sum is 51.

The square root of 4668284544 is about 68324.8457297929. The cubic root of 4668284544 is about 1671.2924060348.

The spelling of 4668284544 in words is "four billion, six hundred sixty-eight million, two hundred eighty-four thousand, five hundred forty-four".