4032566720 has 336 divisors, whose sum is σ = 12239353728. Its totient is φ = 1254113280.

The previous prime is 4032566717. The next prime is 4032566723. The reversal of 4032566720 is 276652304.

It is an interprime number because it is at equal distance from previous prime (4032566717) and next prime (4032566723).

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4032566723) 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, 14880185 + ... + 14880455.

It is an arithmetic number, because the mean of its divisors is an integer number (36426648).

Almost surely, 2^4032566720 is an apocalyptic number.

4032566720 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 4032566720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6119676864).

4032566720 is an abundant number, since it is smaller than the sum of its proper divisors (8206787008).

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

4032566720 is a wasteful number, since it uses less digits than its factorization.

4032566720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 388 (or 371 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 35.

The square root of 4032566720 is about 63502.4938092985. The cubic root of 4032566720 is about 1591.6974501446.

The spelling of 4032566720 in words is "four billion, thirty-two million, five hundred sixty-six thousand, seven hundred twenty".