8269701120 has 168 divisors, whose sum is σ = 28667825316. Its totient is φ = 2205155328.

The previous prime is 8269701109. The next prime is 8269701137. The reversal of 8269701120 is 211079628.

It can be written as a sum of positive squares in 2 ways, for example, as 8039632896 + 230068224 = 89664^2 + 15168^2 .

It is a super-2 number, since 2×8269701120² (a number of 21 digits) contains 22 as substring.

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 (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 357424 + ... + 379856.

Almost surely, 2^8269701120 is an apocalyptic number.

8269701120 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 8269701120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14333912658).

8269701120 is an abundant number, since it is smaller than the sum of its proper divisors (20398124196).

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

8269701120 is a wasteful number, since it uses less digits than its factorization.

8269701120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22470 (or 22443 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The square root of 8269701120 is about 90937.8970506796. The cubic root of 8269701120 is about 2022.2271550193.

The spelling of 8269701120 in words is "eight billion, two hundred sixty-nine million, seven hundred one thousand, one hundred twenty".