126673663200 has 432 divisors, whose sum is σ = 495127309824. Its totient is φ = 28019174400.

The previous prime is 126673663139. The next prime is 126673663241. The reversal of 126673663200 is 2366376621.

126673663200 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3628227 + ... + 3662973.

It is an arithmetic number, because the mean of its divisors is an integer number (1146128032).

Almost surely, 2^126673663200 is an apocalyptic number.

126673663200 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 126673663200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247563654912).

126673663200 is an abundant number, since it is smaller than the sum of its proper divisors (368453646624).

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

126673663200 is a wasteful number, since it uses less digits than its factorization.

126673663200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34815 (or 34795 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 42.

The spelling of 126673663200 in words is "one hundred twenty-six billion, six hundred seventy-three million, six hundred sixty-three thousand, two hundred".