8175341664 has 120 divisors (see below), whose sum is σ = 27478292688. Its totient is φ = 2335806720.

The previous prime is 8175341653. The next prime is 8175341693. The reversal of 8175341664 is 4661435718.

8175341664 is a `hidden beast` number, since 8 + 175 + 3 + 416 + 64 = 666.

It is a super-2 number, since 2×8175341664² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 207147 + ... + 243434.

Almost surely, 2^8175341664 is an apocalyptic number.

8175341664 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

It is an amenable number.

8175341664 is an abundant number, since it is smaller than the sum of its proper divisors (19302951024).

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

8175341664 is a wasteful number, since it uses less digits than its factorization.

8175341664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 450610 (or 450593 counting only the distinct ones).

The product of its digits is 483840, while the sum is 45.

The square root of 8175341664 is about 90417.5959866220. The cubic root of 8175341664 is about 2014.5063340839.

The spelling of 8175341664 in words is "eight billion, one hundred seventy-five million, three hundred forty-one thousand, six hundred sixty-four".