8272008020 has 12 divisors (see below), whose sum is σ = 17371216884. Its totient is φ = 3308803200.

The previous prime is 8272007999. The next prime is 8272008023. The reversal of 8272008020 is 208002728.

It can be written as a sum of positive squares in 2 ways, for example, as 5397547024 + 2874460996 = 73468^2 + 53614^2 .

It is a super-2 number, since 2×8272008020² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8272008023) 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 3 ways as a sum of consecutive naturals, for example, 206800181 + ... + 206800220.

It is an arithmetic number, because the mean of its divisors is an integer number (1447601407).

Almost surely, 2^8272008020 is an apocalyptic number.

It is an amenable number.

8272008020 is an abundant number, since it is smaller than the sum of its proper divisors (9099208864).

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

8272008020 is a wasteful number, since it uses less digits than its factorization.

8272008020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 413600410 (or 413600408 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 29.

The square root of 8272008020 is about 90950.5800971055. The cubic root of 8272008020 is about 2022.4151764096.

The spelling of 8272008020 in words is "eight billion, two hundred seventy-two million, eight thousand, twenty".