8220275712 has 352 divisors, whose sum is σ = 26882841600. Its totient is φ = 2460672000.

The previous prime is 8220275683. The next prime is 8220275719. The reversal of 8220275712 is 2175720228.

8220275712 is a `hidden beast` number, since 82 + 2 + 0 + 2 + 7 + 571 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (352).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8220275719) 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 31 ways as a sum of consecutive naturals, for example, 45923239 + ... + 45923417.

Almost surely, 2^8220275712 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8220275712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13441420800).

8220275712 is an abundant number, since it is smaller than the sum of its proper divisors (18662565888).

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

8220275712 is a wasteful number, since it uses less digits than its factorization.

8220275712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 370 (or 346 counting only the distinct ones).

The product of its (nonzero) digits is 31360, while the sum is 36.

The square root of 8220275712 is about 90665.7361520878. The cubic root of 8220275712 is about 2018.1903630955.

The spelling of 8220275712 in words is "eight billion, two hundred twenty million, two hundred seventy-five thousand, seven hundred twelve".