8486071360 has 168 divisors, whose sum is σ = 22478137416. Its totient is φ = 3047915520.

The previous prime is 8486071313. The next prime is 8486071361. The reversal of 8486071360 is 631706848.

It can be written as a sum of positive squares in 12 ways, for example, as 719526976 + 7766544384 = 26824^2 + 88128^2 .

It is a super-3 number, since 3×8486071360³ (a number of 31 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (8486071361) 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 23 ways as a sum of consecutive naturals, for example, 1998840 + ... + 2003080.

It is an arithmetic number, because the mean of its divisors is an integer number (133798437).

Almost surely, 2^8486071360 is an apocalyptic number.

8486071360 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 8486071360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11239068708).

8486071360 is an abundant number, since it is smaller than the sum of its proper divisors (13992066056).

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

8486071360 is a wasteful number, since it uses less digits than its factorization.

8486071360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4321 (or 4298 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 43.

The square root of 8486071360 is about 92119.8749456381. The cubic root of 8486071360 is about 2039.7121982815.

The spelling of 8486071360 in words is "eight billion, four hundred eighty-six million, seventy-one thousand, three hundred sixty".