8327208960 has 504 divisors, whose sum is σ = 33651533916. Its totient is φ = 1899233280.

The previous prime is 8327208959. The next prime is 8327208979. The reversal of 8327208960 is 698027238.

It can be written as a sum of positive squares in 2 ways, for example, as 8108642304 + 218566656 = 90048^2 + 14784^2 .

It is a tau number, because it is divible by the number of its divisors (504).

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

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 35 ways as a sum of consecutive naturals, for example, 18063130 + ... + 18063590.

Almost surely, 2^8327208960 is an apocalyptic number.

8327208960 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 8327208960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16825766958).

8327208960 is an abundant number, since it is smaller than the sum of its proper divisors (25324324956).

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

8327208960 is a wasteful number, since it uses less digits than its factorization.

8327208960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 512 (or 478 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 8327208960 is about 91253.5421778245. The cubic root of 8327208960 is about 2026.9038811288.

The spelling of 8327208960 in words is "eight billion, three hundred twenty-seven million, two hundred eight thousand, nine hundred sixty".