4089736560 has 320 divisors, whose sum is σ = 15698995200. Its totient is φ = 857640960.

The previous prime is 4089736549. The next prime is 4089736561. The reversal of 4089736560 is 656379804.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4089736561) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4345690 + ... + 4346630.

It is an arithmetic number, because the mean of its divisors is an integer number (49059360).

Almost surely, 2^4089736560 is an apocalyptic number.

4089736560 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 4089736560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7849497600).

4089736560 is an abundant number, since it is smaller than the sum of its proper divisors (11609258640).

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

4089736560 is a wasteful number, since it uses less digits than its factorization.

4089736560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1176 (or 1170 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 48.

The square root of 4089736560 is about 63951.0481540373. The cubic root of 4089736560 is about 1599.1840318599.

The spelling of 4089736560 in words is "four billion, eighty-nine million, seven hundred thirty-six thousand, five hundred sixty".