12673065600 has 480 divisors, whose sum is σ = 50377205340. Its totient is φ = 3118694400.

The previous prime is 12673065593. The next prime is 12673065631. The reversal of 12673065600 is 656037621.

12673065600 is a `hidden beast` number, since 1 + 2 + 67 + 30 + 6 + 560 + 0 = 666.

12673065600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 2116736064 + 10556329536 = 46008^2 + 102744^2 .

It is a tau number, because it is divible by the number of its divisors (480).

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 (17) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 3367720 + ... + 3371480.

Almost surely, 2^12673065600 is an apocalyptic number.

12673065600 is a gapful number since it is divisible by the number (10) 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 12673065600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25188602670).

12673065600 is an abundant number, since it is smaller than the sum of its proper divisors (37704139740).

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

12673065600 is a wasteful number, since it uses less digits than its factorization.

12673065600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3810 (or 3784 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The spelling of 12673065600 in words is "twelve billion, six hundred seventy-three million, sixty-five thousand, six hundred".