4468566072 has 192 divisors, whose sum is σ = 12467952000. Its totient is φ = 1329571584.

The previous prime is 4468566049. The next prime is 4468566079. The reversal of 4468566072 is 2706658644.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4468566079) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 66694983 + ... + 66695049.

It is an arithmetic number, because the mean of its divisors is an integer number (64937250).

Almost surely, 2^4468566072 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 4468566072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6233976000).

4468566072 is an abundant number, since it is smaller than the sum of its proper divisors (7999385928).

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

4468566072 is a wasteful number, since it uses less digits than its factorization.

4468566072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 258 (or 187 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 48.

The square root of 4468566072 is about 66847.3340680090. The cubic root of 4468566072 is about 1647.1104703627.

The spelling of 4468566072 in words is "four billion, four hundred sixty-eight million, five hundred sixty-six thousand, seventy-two".