8121641766 has 16 divisors (see below), whose sum is σ = 18563752704. Its totient is φ = 2320469064.

The previous prime is 8121641753. The next prime is 8121641771. The reversal of 8121641766 is 6671461218.

It is a super-2 number, since 2×8121641766² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42), and also a Moran number because the ratio is a prime number: 193372423 = 8121641766 / (8 + 1 + 2 + 1 + 6 + 4 + 1 + 7 + 6 + 6).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 96686170 + ... + 96686253.

It is an arithmetic number, because the mean of its divisors is an integer number (1160234544).

Almost surely, 2^8121641766 is an apocalyptic number.

8121641766 is an abundant number, since it is smaller than the sum of its proper divisors (10442110938).

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

8121641766 is a wasteful number, since it uses less digits than its factorization.

8121641766 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 193372435.

The product of its digits is 96768, while the sum is 42.

The square root of 8121641766 is about 90120.1518307642. The cubic root of 8121641766 is about 2010.0858659885.

It can be divided in two parts, 812 and 1641766, that added together give a triangular number (1642578 = T₁₈₁₂).

The spelling of 8121641766 in words is "eight billion, one hundred twenty-one million, six hundred forty-one thousand, seven hundred sixty-six".