4676566752 has 720 divisors, whose sum is σ = 17259935616. Its totient is φ = 1231718400.

The previous prime is 4676566667. The next prime is 4676566753. The reversal of 4676566752 is 2576656764.

4676566752 is a `hidden beast` number, since 4 + 6 + 7 + 6 + 566 + 75 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4676566753) by changing a digit.

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 119 ways as a sum of consecutive naturals, for example, 126393678 + ... + 126393714.

Almost surely, 2^4676566752 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 4676566752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8629967808).

4676566752 is an abundant number, since it is smaller than the sum of its proper divisors (12583368864).

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

4676566752 is a wasteful number, since it uses less digits than its factorization.

4676566752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125 (or 97 counting only the distinct ones).

The product of its digits is 12700800, while the sum is 54.

The square root of 4676566752 is about 68385.4279214512. The cubic root of 4676566752 is about 1672.2801931166.

The spelling of 4676566752 in words is "four billion, six hundred seventy-six million, five hundred sixty-six thousand, seven hundred fifty-two".