4182064236 has 192 divisors, whose sum is σ = 13095936000. Its totient is φ = 1127442240.

The previous prime is 4182064177. The next prime is 4182064241. The reversal of 4182064236 is 6324602814.

4182064236 is a `hidden beast` number, since 4 + 1 + 8 + 2 + 0 + 642 + 3 + 6 = 666.

It is a super-2 number, since 2×4182064236² = 34979322548060527392, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 4182064236.

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 63 ways as a sum of consecutive naturals, for example, 5156271 + ... + 5157081.

It is an arithmetic number, because the mean of its divisors is an integer number (68208000).

Almost surely, 2^4182064236 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 4182064236, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6547968000).

4182064236 is an abundant number, since it is smaller than the sum of its proper divisors (8913871764).

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

4182064236 is a wasteful number, since it uses less digits than its factorization.

4182064236 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1209 (or 1201 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 4182064236 is about 64668.8815118988. The cubic root of 4182064236 is about 1611.1286963411.

The spelling of 4182064236 in words is "four billion, one hundred eighty-two million, sixty-four thousand, two hundred thirty-six".