4032823680 has 512 divisors, whose sum is σ = 15216768000. Its totient is φ = 1007271936.

The previous prime is 4032823651. The next prime is 4032823681. The reversal of 4032823680 is 863282304.

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

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4032823681) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 29013051 + ... + 29013189.

It is an arithmetic number, because the mean of its divisors is an integer number (29720250).

Almost surely, 2^4032823680 is an apocalyptic number.

4032823680 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 4032823680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7608384000).

4032823680 is an abundant number, since it is smaller than the sum of its proper divisors (11183944320).

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

4032823680 is a wasteful number, since it uses less digits than its factorization.

4032823680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 263 (or 245 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 4032823680 is about 63504.5170046982. The cubic root of 4032823680 is about 1591.7312577183.

The spelling of 4032823680 in words is "four billion, thirty-two million, eight hundred twenty-three thousand, six hundred eighty".