8136873360 has 960 divisors, whose sum is σ = 36945849600. Its totient is φ = 1625702400.

The previous prime is 8136873337. The next prime is 8136873361. The reversal of 8136873360 is 633786318.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (8136873361) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 33762840 + ... + 33763080.

It is an arithmetic number, because the mean of its divisors is an integer number (38485260).

Almost surely, 2^8136873360 is an apocalyptic number.

8136873360 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 8136873360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18472924800).

8136873360 is an abundant number, since it is smaller than the sum of its proper divisors (28808976240).

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

8136873360 is a wasteful number, since it uses less digits than its factorization.

8136873360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 317 (or 298 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The square root of 8136873360 is about 90204.6193939091. The cubic root of 8136873360 is about 2011.3416749612.

The spelling of 8136873360 in words is "eight billion, one hundred thirty-six million, eight hundred seventy-three thousand, three hundred sixty".