127693682688 has 384 divisors, whose sum is σ = 404190259200. Its totient is φ = 35340288000.

The previous prime is 127693682647. The next prime is 127693682689. The reversal of 127693682688 is 886286396721.

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 (66).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (127693682689) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 88737073 + ... + 88738511.

It is an arithmetic number, because the mean of its divisors is an integer number (1052578800).

Almost surely, 2^127693682688 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 127693682688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202095129600).

127693682688 is an abundant number, since it is smaller than the sum of its proper divisors (276496576512).

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

127693682688 is a wasteful number, since it uses less digits than its factorization.

127693682688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1589 (or 1569 counting only the distinct ones).

The product of its digits is 83607552, while the sum is 66.

The spelling of 127693682688 in words is "one hundred twenty-seven billion, six hundred ninety-three million, six hundred eighty-two thousand, six hundred eighty-eight".