127968437376 has 192 divisors, whose sum is σ = 398044832640. Its totient is φ = 39228364800.

The previous prime is 127968437351. The next prime is 127968437381. The reversal of 127968437376 is 673734869721.

127968437376 is a `hidden beast` number, since 1 + 2 + 79 + 68 + 437 + 3 + 76 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4042731 + ... + 4074261.

It is an arithmetic number, because the mean of its divisors is an integer number (2073150170).

Almost surely, 2^127968437376 is an apocalyptic number.

127968437376 is a gapful number since it is divisible by the number (16) 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 127968437376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199022416320).

127968437376 is an abundant number, since it is smaller than the sum of its proper divisors (270076395264).

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

127968437376 is a wasteful number, since it uses less digits than its factorization.

127968437376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31835 (or 31820 counting only the distinct ones).

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

The spelling of 127968437376 in words is "one hundred twenty-seven billion, nine hundred sixty-eight million, four hundred thirty-seven thousand, three hundred seventy-six".