12673382400 has 432 divisors, whose sum is σ = 51884960400. Its totient is φ = 2896035840.

The previous prime is 12673382363. The next prime is 12673382429. The reversal of 12673382400 is 428337621.

It is a happy number.

It is a super-2 number, since 2×12673382400² (a number of 21 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3223636 + ... + 3227564.

It is an arithmetic number, because the mean of its divisors is an integer number (120104075).

Almost surely, 2^12673382400 is an apocalyptic number.

12673382400 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 12673382400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25942480200).

12673382400 is an abundant number, since it is smaller than the sum of its proper divisors (39211578000).

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

12673382400 is a wasteful number, since it uses less digits than its factorization.

12673382400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3974 (or 3946 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The spelling of 12673382400 in words is "twelve billion, six hundred seventy-three million, three hundred eighty-two thousand, four hundred".