8671761760 has 96 divisors (see below), whose sum is σ = 21697466112. Its totient is φ = 3268277760.

The previous prime is 8671761751. The next prime is 8671761773. The reversal of 8671761760 is 671671768.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 228975 + ... + 264145.

It is an arithmetic number, because the mean of its divisors is an integer number (226015272).

Almost surely, 2^8671761760 is an apocalyptic number.

8671761760 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 8671761760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10848733056).

8671761760 is an abundant number, since it is smaller than the sum of its proper divisors (13025704352).

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

8671761760 is a wasteful number, since it uses less digits than its factorization.

8671761760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35276 (or 35268 counting only the distinct ones).

The product of its (nonzero) digits is 592704, while the sum is 49.

The square root of 8671761760 is about 93122.2946452674. The cubic root of 8671761760 is about 2054.4824984542.

The spelling of 8671761760 in words is "eight billion, six hundred seventy-one million, seven hundred sixty-one thousand, seven hundred sixty".