127478336328576 has 384 divisors, whose sum is σ = 400131044352000. Its totient is φ = 38836208885760.

The previous prime is 127478336328559. The next prime is 127478336328661. The reversal of 127478336328576 is 675823633874721.

127478336328576 is a `hidden beast` number, since 1 + 2 + 7 + 4 + 7 + 8 + 336 + 3 + 285 + 7 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 63906420 + ... + 65870988.

It is an arithmetic number, because the mean of its divisors is an integer number (1042007928000).

Almost surely, 2^{127478336328576} is an apocalyptic number.

127478336328576 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 127478336328576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200065522176000).

127478336328576 is an abundant number, since it is smaller than the sum of its proper divisors (272652708023424).

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

127478336328576 is a wasteful number, since it uses less digits than its factorization.

127478336328576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1964722 (or 1964707 counting only the distinct ones).

The product of its digits is 1706987520, while the sum is 72.

The spelling of 127478336328576 in words is "one hundred twenty-seven trillion, four hundred seventy-eight billion, three hundred thirty-six million, three hundred twenty-eight thousand, five hundred seventy-six".