4217720832 has 234 divisors, whose sum is σ = 13211771742. Its totient is φ = 1295843328.

The previous prime is 4217720813. The next prime is 4217720839. The reversal of 4217720832 is 2380277124.

It can be written as a sum of positive squares in 3 ways, for example, as 513294336 + 3704426496 = 22656^2 + 60864^2 .

It is a tau number, because it is divible by the number of its divisors (234).

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

It is a nialpdrome in base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4217720839) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 6229678 + ... + 6230354.

It is an arithmetic number, because the mean of its divisors is an integer number (56460563).

Almost surely, 2^4217720832 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 4217720832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6605885871).

4217720832 is an abundant number, since it is smaller than the sum of its proper divisors (8994050910).

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

4217720832 is a wasteful number, since it uses less digits than its factorization.

4217720832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 733 (or 695 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The square root of 4217720832 is about 64943.9822616384. The cubic root of 4217720832 is about 1615.6946127495.

Adding to 4217720832 its reverse (2380277124), we get a palindrome (6597997956).

The spelling of 4217720832 in words is "four billion, two hundred seventeen million, seven hundred twenty thousand, eight hundred thirty-two".