4189432968 has 384 divisors, whose sum is σ = 14478912000. Its totient is φ = 1115856000.

The previous prime is 4189432921. The next prime is 4189432979. The reversal of 4189432968 is 8692349814.

4189432968 is a `hidden beast` number, since 41 + 89 + 432 + 96 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

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 95 ways as a sum of consecutive naturals, for example, 16690843 + ... + 16691093.

It is an arithmetic number, because the mean of its divisors is an integer number (37705500).

Almost surely, 2^4189432968 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 4189432968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7239456000).

4189432968 is an abundant number, since it is smaller than the sum of its proper divisors (10289479032).

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

4189432968 is a wasteful number, since it uses less digits than its factorization.

4189432968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 382 (or 365 counting only the distinct ones).

The product of its digits is 2985984, while the sum is 54.

The square root of 4189432968 is about 64725.8292183267. The cubic root of 4189432968 is about 1612.0744023357.

The spelling of 4189432968 in words is "four billion, one hundred eighty-nine million, four hundred thirty-two thousand, nine hundred sixty-eight".