4232376720 has 720 divisors, whose sum is σ = 17450976816. Its totient is φ = 912384000.

The previous prime is 4232376713. The next prime is 4232376751. The reversal of 4232376720 is 276732324.

4232376720 = 3626² + 3627² + ... + 3922².

It can be written as a sum of positive squares in 8 ways, for example, as 267911424 + 3964465296 = 16368^2 + 62964^2 .

It is a tau number, because it is divible by the number of its divisors (720).

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

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 41904670 + ... + 41904770.

Almost surely, 2^4232376720 is an apocalyptic number.

4232376720 is a gapful number since it is divisible by the number (40) 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 4232376720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8725488408).

4232376720 is an abundant number, since it is smaller than the sum of its proper divisors (13218600096).

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

4232376720 is a wasteful number, since it uses less digits than its factorization.

4232376720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 84672, while the sum is 36.

The square root of 4232376720 is about 65056.7192532793. The cubic root of 4232376720 is about 1617.5638738714.

The spelling of 4232376720 in words is "four billion, two hundred thirty-two million, three hundred seventy-six thousand, seven hundred twenty".