8732655360 has 1440 divisors, whose sum is σ = 39888414720. Its totient is φ = 1791590400.

The previous prime is 8732655359. The next prime is 8732655389. The reversal of 8732655360 is 635562378.

8732655360 is a `hidden beast` number, since 8 + 7 + 32 + 6 + 553 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

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 159 ways as a sum of consecutive naturals, for example, 281698545 + ... + 281698575.

It is an arithmetic number, because the mean of its divisors is an integer number (27700288).

Almost surely, 2^8732655360 is an apocalyptic number.

8732655360 is a gapful number since it is divisible by the number (80) 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 8732655360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19944207360).

8732655360 is an abundant number, since it is smaller than the sum of its proper divisors (31155759360).

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

8732655360 is a wasteful number, since it uses less digits than its factorization.

8732655360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 907200, while the sum is 45.

The square root of 8732655360 is about 93448.6776792481. The cubic root of 8732655360 is about 2059.2801833579.

The spelling of 8732655360 in words is "eight billion, seven hundred thirty-two million, six hundred fifty-five thousand, three hundred sixty".