8275968000 has 360 divisors, whose sum is σ = 29903164200. Its totient is φ = 2202009600.

The previous prime is 8275967993. The next prime is 8275968013. The reversal of 8275968000 is 8695728.

It can be written as a sum of positive squares in 4 ways, for example, as 201867264 + 8074100736 = 14208^2 + 89856^2 .

It is a tau number, because it is divible by the number of its divisors (360).

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 23 ways as a sum of consecutive naturals, for example, 18431776 + ... + 18432224.

It is an arithmetic number, because the mean of its divisors is an integer number (83064345).

Almost surely, 2^8275968000 is an apocalyptic number.

8275968000 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 8275968000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14951582100).

8275968000 is an abundant number, since it is smaller than the sum of its proper divisors (21627196200).

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

8275968000 is an equidigital number, since it uses as much as digits as its factorization.

8275968000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 498 (or 459 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The square root of 8275968000 is about 90972.3474469028. The cubic root of 8275968000 is about 2022.7378488083.

The spelling of 8275968000 in words is "eight billion, two hundred seventy-five million, nine hundred sixty-eight thousand".