126673659648000 has 1536 divisors, whose sum is σ = 497850312960000. Its totient is φ = 31663993651200.

The previous prime is 126673659647959. The next prime is 126673659648001. The reversal of 126673659648000 is 846956376621.

126673659648000 is a `hidden beast` number, since 1 + 2 + 6 + 6 + 7 + 3 + 65 + 96 + 480 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1536).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (126673659648001) 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 127 ways as a sum of consecutive naturals, for example, 30903549951 + ... + 30903554049.

It is an arithmetic number, because the mean of its divisors is an integer number (324121297500).

It is a 1-persistent number, because it is pandigital, but 2⋅126673659648000 = 253347319296000 is not.

Almost surely, 2^{126673659648000} is an apocalyptic number.

126673659648000 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 126673659648000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248925156480000).

126673659648000 is an abundant number, since it is smaller than the sum of its proper divisors (371176653312000).

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

126673659648000 is a wasteful number, since it uses less digits than its factorization.

126673659648000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4425 (or 4389 counting only the distinct ones).

The product of its (nonzero) digits is 78382080, while the sum is 63.

The spelling of 126673659648000 in words is "one hundred twenty-six trillion, six hundred seventy-three billion, six hundred fifty-nine million, six hundred forty-eight thousand".