4695885964 has 96 divisors (see below), whose sum is σ = 10545841152. Its totient is φ = 1776384000.

The previous prime is 4695885947. The next prime is 4695886003.

4695885964 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 4695885896 and 4695885905.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3042577 + ... + 3044119.

It is an arithmetic number, because the mean of its divisors is an integer number (109852512).

Almost surely, 2^4695885964 is an apocalyptic number.

4695885964 is a gapful number since it is divisible by the number (44) 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 4695885964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5272920576).

4695885964 is an abundant number, since it is smaller than the sum of its proper divisors (5849955188).

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

4695885964 is a wasteful number, since it uses less digits than its factorization.

4695885964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1847 (or 1845 counting only the distinct ones).

The product of its digits is 74649600, while the sum is 64.

The square root of 4695885964 is about 68526.5347438494. The cubic root of 4695885964 is about 1674.5797967543.

The spelling of 4695885964 in words is "four billion, six hundred ninety-five million, eight hundred eighty-five thousand, nine hundred sixty-four".