8321123664 has 120 divisors (see below), whose sum is σ = 27473019392. Its totient is φ = 2300762880.

The previous prime is 8321123653. The next prime is 8321123669. The reversal of 8321123664 is 4663211238.

8321123664 is a `hidden beast` number, since 83 + 211 + 2 + 366 + 4 = 666.

It is a super-5 number, since 5×8321123664⁵ (a number of 51 digits) contains 55555 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8321123669) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 101899 + ... + 164394.

Almost surely, 2^8321123664 is an apocalyptic number.

8321123664 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

It is an amenable number.

8321123664 is an abundant number, since it is smaller than the sum of its proper divisors (19151895728).

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

8321123664 is a wasteful number, since it uses less digits than its factorization.

8321123664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 266345 (or 266336 counting only the distinct ones).

The product of its digits is 41472, while the sum is 36.

The square root of 8321123664 is about 91220.1932907402. The cubic root of 8321123664 is about 2026.4100255491.

The spelling of 8321123664 in words is "eight billion, three hundred twenty-one million, one hundred twenty-three thousand, six hundred sixty-four".