126276720629760 has 1536 divisors, whose sum is σ = 499663696896000. Its totient is φ = 30117829017600.

The previous prime is 126276720629671. The next prime is 126276720629809. The reversal of 126276720629760 is 67926027672621.

126276720629760 is a `hidden beast` number, since 1 + 2 + 6 + 27 + 67 + 206 + 297 + 60 = 666.

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

It is a congruent number.

It is an unprimeable number.

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, 6676706064 + ... + 6676724976.

It is an arithmetic number, because the mean of its divisors is an integer number (325301886000).

Almost surely, 2^{126276720629760} is an apocalyptic number.

126276720629760 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 126276720629760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249831848448000).

126276720629760 is an abundant number, since it is smaller than the sum of its proper divisors (373386976266240).

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

126276720629760 is a wasteful number, since it uses less digits than its factorization.

126276720629760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19040 (or 19014 counting only the distinct ones).

The product of its (nonzero) digits is 64012032, while the sum is 63.

The spelling of 126276720629760 in words is "one hundred twenty-six trillion, two hundred seventy-six billion, seven hundred twenty million, six hundred twenty-nine thousand, seven hundred sixty".