4180090068 has 288 divisors, whose sum is σ = 13601323008. Its totient is φ = 1051142400.

The previous prime is 4180090063. The next prime is 4180090069. The reversal of 4180090068 is 8600900814.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4180090063) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 13186246 + ... + 13186562.

It is an arithmetic number, because the mean of its divisors is an integer number (47226816).

Almost surely, 2^4180090068 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 4180090068, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6800661504).

4180090068 is an abundant number, since it is smaller than the sum of its proper divisors (9421232940).

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

4180090068 is a wasteful number, since it uses less digits than its factorization.

4180090068 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 483 (or 478 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 4180090068 is about 64653.6160473643. The cubic root of 4180090068 is about 1610.8751421832.

The spelling of 4180090068 in words is "four billion, one hundred eighty million, ninety thousand, sixty-eight".