4135676660 has 48 divisors (see below), whose sum is σ = 9006273360. Its totient is φ = 1593338880.

The previous prime is 4135676659. The next prime is 4135676693. The reversal of 4135676660 is 666765314.

It can be written as a sum of positive squares in 8 ways, for example, as 932569444 + 3203107216 = 30538^2 + 56596^2 .

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, 235712 + ... + 252648.

It is an arithmetic number, because the mean of its divisors is an integer number (187630695).

Almost surely, 2^4135676660 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 4135676660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4503136680).

4135676660 is an abundant number, since it is smaller than the sum of its proper divisors (4870596700).

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

4135676660 is a wasteful number, since it uses less digits than its factorization.

4135676660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17396 (or 17394 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 44.

The square root of 4135676660 is about 64309.2268652019. The cubic root of 4135676660 is about 1605.1496397459.

The spelling of 4135676660 in words is "four billion, one hundred thirty-five million, six hundred seventy-six thousand, six hundred sixty".