4164541632 has 84 divisors (see below), whose sum is σ = 11953926816. Its totient is φ = 1386201600.

The previous prime is 4164541631. The next prime is 4164541639. The reversal of 4164541632 is 2361454614.

4164541632 is a `hidden beast` number, since 4 + 1 + 645 + 4 + 1 + 6 + 3 + 2 = 666.

4164541632 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×4164541632² = 34686814009322446848, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (4164541631) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 431257 + ... + 440807.

Almost surely, 2^4164541632 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 4164541632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5976963408).

4164541632 is an abundant number, since it is smaller than the sum of its proper divisors (7789385184).

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

4164541632 is a wasteful number, since it uses less digits than its factorization.

4164541632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10326 (or 10313 counting only the distinct ones).

The product of its digits is 69120, while the sum is 36.

The square root of 4164541632 is about 64533.2598897654. The cubic root of 4164541632 is about 1608.8753680353.

The spelling of 4164541632 in words is "four billion, one hundred sixty-four million, five hundred forty-one thousand, six hundred thirty-two".