4032365760 has 224 divisors, whose sum is σ = 14399239680. Its totient is φ = 1062153216.

The previous prime is 4032365737. The next prime is 4032365761. The reversal of 4032365760 is 675632304.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4032365761) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 714309 + ... + 719931.

It is an arithmetic number, because the mean of its divisors is an integer number (64282320).

Almost surely, 2^4032365760 is an apocalyptic number.

4032365760 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 4032365760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7199619840).

4032365760 is an abundant number, since it is smaller than the sum of its proper divisors (10366873920).

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

4032365760 is a wasteful number, since it uses less digits than its factorization.

4032365760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5732 (or 5716 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 36.

The square root of 4032365760 is about 63500.9114895212. The cubic root of 4032365760 is about 1591.6710093477.

The spelling of 4032365760 in words is "four billion, thirty-two million, three hundred sixty-five thousand, seven hundred sixty".