4668567552 has 312 divisors, whose sum is σ = 15256884240. Its totient is φ = 1362493440.

The previous prime is 4668567529. The next prime is 4668567559. The reversal of 4668567552 is 2557658664.

4668567552 is a `hidden beast` number, since 4 + 6 + 6 + 85 + 6 + 7 + 552 = 666.

It is not an unprimeable number, because it can be changed into a prime (4668567559) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11759418 + ... + 11759814.

It is an arithmetic number, because the mean of its divisors is an integer number (48900270).

Almost surely, 2^4668567552 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 4668567552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7628442120).

4668567552 is an abundant number, since it is smaller than the sum of its proper divisors (10588316688).

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

4668567552 is a wasteful number, since it uses less digits than its factorization.

4668567552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 467 (or 442 counting only the distinct ones).

The product of its digits is 12096000, while the sum is 54.

The square root of 4668567552 is about 68326.9167458916. The cubic root of 4668567552 is about 1671.3261785808.

The spelling of 4668567552 in words is "four billion, six hundred sixty-eight million, five hundred sixty-seven thousand, five hundred fifty-two".