4032563080 has 192 divisors, whose sum is σ = 11594880000. Its totient is φ = 1234621440.

The previous prime is 4032563069. The next prime is 4032563089. The reversal of 4032563080 is 803652304.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is not an unprimeable number, because it can be changed into a prime (4032563089) 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 47 ways as a sum of consecutive naturals, for example, 1465546 + ... + 1468294.

It is an arithmetic number, because the mean of its divisors is an integer number (60390000).

Almost surely, 2^4032563080 is an apocalyptic number.

4032563080 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 4032563080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5797440000).

4032563080 is an abundant number, since it is smaller than the sum of its proper divisors (7562316920).

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

4032563080 is a wasteful number, since it uses less digits than its factorization.

4032563080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2824 (or 2807 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 31.

The square root of 4032563080 is about 63502.4651490003. The cubic root of 4032563080 is about 1591.6969712287.

The spelling of 4032563080 in words is "four billion, thirty-two million, five hundred sixty-three thousand, eighty".