8123673600 has 1056 divisors, whose sum is σ = 36063882240. Its totient is φ = 1751777280.

The previous prime is 8123673599. The next prime is 8123673617. The reversal of 8123673600 is 63763218.

It is a happy number.

8123673600 is a `hidden beast` number, since 8 + 12 + 36 + 7 + 3 + 600 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 111283164 + ... + 111283236.

Almost surely, 2^8123673600 is an apocalyptic number.

8123673600 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 8123673600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18031941120).

8123673600 is an abundant number, since it is smaller than the sum of its proper divisors (27940208640).

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

8123673600 is a wasteful number, since it uses less digits than its factorization.

8123673600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 8123673600 is about 90131.4240428942. The cubic root of 8123673600 is about 2010.2534766098.

The spelling of 8123673600 in words is "eight billion, one hundred twenty-three million, six hundred seventy-three thousand, six hundred".