8093509632 has 384 divisors, whose sum is σ = 26325936000. Its totient is φ = 2472394752.

The previous prime is 8093509609. The next prime is 8093509643. The reversal of 8093509632 is 2369053908.

8093509632 is a `hidden beast` number, since 8 + 0 + 9 + 3 + 5 + 0 + 9 + 632 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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 31 ways as a sum of consecutive naturals, for example, 58226619 + ... + 58226757.

It is an arithmetic number, because the mean of its divisors is an integer number (68557125).

Almost surely, 2^8093509632 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8093509632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13162968000).

8093509632 is an abundant number, since it is smaller than the sum of its proper divisors (18232426368).

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

8093509632 is an equidigital number, since it uses as much as digits as its factorization.

8093509632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195 (or 157 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 45.

The square root of 8093509632 is about 89963.9351740463. The cubic root of 8093509632 is about 2007.7623036787.

The spelling of 8093509632 in words is "eight billion, ninety-three million, five hundred nine thousand, six hundred thirty-two".