4083730560 has 1024 divisors, whose sum is σ = 18506880000. Its totient is φ = 845365248.

The previous prime is 4083730549. The next prime is 4083730561. The reversal of 4083730560 is 650373804.

It is a happy number.

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 (4083730561) 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 127 ways as a sum of consecutive naturals, for example, 77051494 + ... + 77051546.

It is an arithmetic number, because the mean of its divisors is an integer number (18073125).

Almost surely, 2^4083730560 is an apocalyptic number.

4083730560 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 4083730560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9253440000).

4083730560 is an abundant number, since it is smaller than the sum of its proper divisors (14423149440).

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

4083730560 is a wasteful number, since it uses less digits than its factorization.

4083730560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 4083730560 is about 63904.0731096227. The cubic root of 4083730560 is about 1598.4008188364.

The spelling of 4083730560 in words is "four billion, eighty-three million, seven hundred thirty thousand, five hundred sixty".