8172137568 has 96 divisors (see below), whose sum is σ = 24582894336. Its totient is φ = 2328565248.

The previous prime is 8172137539. The next prime is 8172137569. The reversal of 8172137568 is 8657312718.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8172137569) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 234355 + ... + 266957.

It is an arithmetic number, because the mean of its divisors is an integer number (256071816).

Almost surely, 2^8172137568 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8172137568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12291447168).

8172137568 is an abundant number, since it is smaller than the sum of its proper divisors (16410756768).

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

8172137568 is a wasteful number, since it uses less digits than its factorization.

8172137568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32996 (or 32988 counting only the distinct ones).

The product of its digits is 564480, while the sum is 48.

The square root of 8172137568 is about 90399.8759291184. The cubic root of 8172137568 is about 2014.2431232654.

The spelling of 8172137568 in words is "eight billion, one hundred seventy-two million, one hundred thirty-seven thousand, five hundred sixty-eight".