4181688576 has 216 divisors, whose sum is σ = 13085381400. Its totient is φ = 1276674048.

The previous prime is 4181688571. The next prime is 4181688613. The reversal of 4181688576 is 6758861814.

It is a happy number.

4181688576 is a `hidden beast` number, since 4 + 1 + 8 + 1 + 68 + 8 + 576 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 359481600 + 3822206976 = 18960^2 + 61824^2 .

It is not an unprimeable number, because it can be changed into a prime (4181688571) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4462380 + ... + 4463316.

Almost surely, 2^4181688576 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 4181688576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6542690700).

4181688576 is an abundant number, since it is smaller than the sum of its proper divisors (8903692824).

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

4181688576 is a wasteful number, since it uses less digits than its factorization.

4181688576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1121 (or 1104 counting only the distinct ones).

The product of its digits is 2580480, while the sum is 54.

The square root of 4181688576 is about 64665.9769585212. The cubic root of 4181688576 is about 1611.0804542375.

The spelling of 4181688576 in words is "four billion, one hundred eighty-one million, six hundred eighty-eight thousand, five hundred seventy-six".