8545975680 has 512 divisors, whose sum is σ = 31563924480. Its totient is φ = 1946419200.

The previous prime is 8545975679. The next prime is 8545975681. The reversal of 8545975680 is 865795458.

It is an interprime number because it is at equal distance from previous prime (8545975679) and next prime (8545975681).

It is a self number, because there is not a number n which added to its sum of digits gives 8545975680.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8545975681) 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, 35460360 + ... + 35460600.

It is an arithmetic number, because the mean of its divisors is an integer number (61648290).

Almost surely, 2^8545975680 is an apocalyptic number.

8545975680 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 8545975680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15781962240).

8545975680 is an abundant number, since it is smaller than the sum of its proper divisors (23017948800).

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

8545975680 is a wasteful number, since it uses less digits than its factorization.

8545975680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 370 (or 358 counting only the distinct ones).

The product of its (nonzero) digits is 12096000, while the sum is 57.

The square root of 8545975680 is about 92444.4464529914. The cubic root of 8545975680 is about 2044.5004831660.

The spelling of 8545975680 in words is "eight billion, five hundred forty-five million, nine hundred seventy-five thousand, six hundred eighty".