8172639360 has 192 divisors, whose sum is σ = 28439199360. Its totient is φ = 2162534400.

The previous prime is 8172639311. The next prime is 8172639367. The reversal of 8172639360 is 639362718.

8172639360 is a `hidden beast` number, since 8 + 1 + 7 + 2 + 639 + 3 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

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 (8172639367) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 749145 + ... + 759975.

It is an arithmetic number, because the mean of its divisors is an integer number (148120830).

Almost surely, 2^8172639360 is an apocalyptic number.

8172639360 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 8172639360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14219599680).

8172639360 is an abundant number, since it is smaller than the sum of its proper divisors (20266560000).

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

8172639360 is a wasteful number, since it uses less digits than its factorization.

8172639360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10987 (or 10972 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The square root of 8172639360 is about 90402.6512885546. The cubic root of 8172639360 is about 2014.2843491336.

The spelling of 8172639360 in words is "eight billion, one hundred seventy-two million, six hundred thirty-nine thousand, three hundred sixty".