4554468072 has 432 divisors, whose sum is σ = 16178460480. Its totient is φ = 1152708480.

The previous prime is 4554468059. The next prime is 4554468089. The reversal of 4554468072 is 2708644554.

4554468072 is a `hidden beast` number, since 45 + 544 + 68 + 0 + 7 + 2 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 20063623 + ... + 20063849.

It is an arithmetic number, because the mean of its divisors is an integer number (37450140).

Almost surely, 2^4554468072 is an apocalyptic number.

4554468072 is a gapful number since it is divisible by the number (42) 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 4554468072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8089230240).

4554468072 is an abundant number, since it is smaller than the sum of its proper divisors (11623992408).

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

4554468072 is a wasteful number, since it uses less digits than its factorization.

4554468072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 322 (or 297 counting only the distinct ones).

The product of its (nonzero) digits is 1075200, while the sum is 45.

The square root of 4554468072 is about 67486.7992425185. The cubic root of 4554468072 is about 1657.5980250920.

The spelling of 4554468072 in words is "four billion, five hundred fifty-four million, four hundred sixty-eight thousand, seventy-two".