8089712640 has 288 divisors, whose sum is σ = 28516924800. Its totient is φ = 2120417280.

The previous prime is 8089712621. The next prime is 8089712641. The reversal of 8089712640 is 462179808.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8089712641) 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 23 ways as a sum of consecutive naturals, for example, 5621041 + ... + 5622479.

It is an arithmetic number, because the mean of its divisors is an integer number (99017100).

Almost surely, 2^8089712640 is an apocalyptic number.

8089712640 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 8089712640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14258462400).

8089712640 is an abundant number, since it is smaller than the sum of its proper divisors (20427212160).

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

8089712640 is a wasteful number, since it uses less digits than its factorization.

8089712640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1533 (or 1510 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The square root of 8089712640 is about 89942.8298420725. The cubic root of 8089712640 is about 2007.4482804585.

The spelling of 8089712640 in words is "eight billion, eighty-nine million, seven hundred twelve thousand, six hundred forty".