8166351760 has 120 divisors (see below), whose sum is σ = 22183921656. Its totient is φ = 2787563520.

The previous prime is 8166351709. The next prime is 8166351763. The reversal of 8166351760 is 671536618.

It can be written as a sum of positive squares in 4 ways, for example, as 475763344 + 7690588416 = 21812^2 + 87696^2 .

It is not an unprimeable number, because it can be changed into a prime (8166351763) 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, 908890 + ... + 917830.

Almost surely, 2^8166351760 is an apocalyptic number.

8166351760 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 8166351760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11091960828).

8166351760 is an abundant number, since it is smaller than the sum of its proper divisors (14017569896).

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

8166351760 is a wasteful number, since it uses less digits than its factorization.

8166351760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9201 (or 9188 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 43.

The square root of 8166351760 is about 90367.8690686020. The cubic root of 8166351760 is about 2013.7676550344.

The spelling of 8166351760 in words is "eight billion, one hundred sixty-six million, three hundred fifty-one thousand, seven hundred sixty".