4232817792 has 192 divisors, whose sum is σ = 14118399360. Its totient is φ = 1192181760.

The previous prime is 4232817767. The next prime is 4232817803. The reversal of 4232817792 is 2977182324.

It is a tau number, because it is divible by the number of its divisors (192).

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 568848 + ... + 576240.

It is an arithmetic number, because the mean of its divisors is an integer number (73533330).

Almost surely, 2^4232817792 is an apocalyptic number.

4232817792 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4232817792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7059199680).

4232817792 is an abundant number, since it is smaller than the sum of its proper divisors (9885581568).

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

4232817792 is a wasteful number, since it uses less digits than its factorization.

4232817792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7491 (or 7476 counting only the distinct ones).

The product of its digits is 338688, while the sum is 45.

The square root of 4232817792 is about 65060.1090684607. The cubic root of 4232817792 is about 1617.6200627378.

The spelling of 4232817792 in words is "four billion, two hundred thirty-two million, eight hundred seventeen thousand, seven hundred ninety-two".