4676916132 has 192 divisors, whose sum is σ = 14224896000. Its totient is φ = 1328292000.

The previous prime is 4676916119. The next prime is 4676916133. The reversal of 4676916132 is 2316196764.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (4676916133) 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 63 ways as a sum of consecutive naturals, for example, 9297793 + ... + 9298295.

It is an arithmetic number, because the mean of its divisors is an integer number (74088000).

Almost surely, 2^4676916132 is an apocalyptic number.

4676916132 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 4676916132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7112448000).

4676916132 is an abundant number, since it is smaller than the sum of its proper divisors (9547979868).

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

4676916132 is a wasteful number, since it uses less digits than its factorization.

4676916132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 788 (or 766 counting only the distinct ones).

The product of its digits is 326592, while the sum is 45.

The square root of 4676916132 is about 68387.9823653250. The cubic root of 4676916132 is about 1672.3218366795.

The spelling of 4676916132 in words is "four billion, six hundred seventy-six million, nine hundred sixteen thousand, one hundred thirty-two".