8220764160 has 288 divisors, whose sum is σ = 32564488320. Its totient is φ = 1878884352.

The previous prime is 8220764159. The next prime is 8220764179. The reversal of 8220764160 is 614670228.

8220764160 is a `hidden beast` number, since 8 + 2 + 2 + 0 + 7 + 641 + 6 + 0 = 666.

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 (36).

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 638749 + ... + 651491.

It is an arithmetic number, because the mean of its divisors is an integer number (113071140).

Almost surely, 2^8220764160 is an apocalyptic number.

8220764160 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 8220764160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16282244160).

8220764160 is an abundant number, since it is smaller than the sum of its proper divisors (24343724160).

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

8220764160 is a wasteful number, since it uses less digits than its factorization.

8220764160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12783 (or 12760 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 8220764160 is about 90668.4297867786. The cubic root of 8220764160 is about 2018.2303358635.

The spelling of 8220764160 in words is "eight billion, two hundred twenty million, seven hundred sixty-four thousand, one hundred sixty".