4686936672 has 96 divisors (see below), whose sum is σ = 13442526720. Its totient is φ = 1418078720.

The previous prime is 4686936649. The next prime is 4686936697. The reversal of 4686936672 is 2766396864.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 756178 + ... + 762350.

It is an arithmetic number, because the mean of its divisors is an integer number (140026320).

Almost surely, 2^4686936672 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 4686936672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6721263360).

4686936672 is an abundant number, since it is smaller than the sum of its proper divisors (8755590048).

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

4686936672 is a wasteful number, since it uses less digits than its factorization.

4686936672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6916 (or 6908 counting only the distinct ones).

The product of its digits is 15676416, while the sum is 57.

The square root of 4686936672 is about 68461.2055984994. The cubic root of 4686936672 is about 1673.5153306841.

The spelling of 4686936672 in words is "four billion, six hundred eighty-six million, nine hundred thirty-six thousand, six hundred seventy-two".