127337627648 has 432 divisors, whose sum is σ = 339166904832. Its totient is φ = 46714060800.

The previous prime is 127337627621. The next prime is 127337627719. The reversal of 127337627648 is 846726733721.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is a junction number, because it is equal to n+sod(n) for n = 127337627593 and 127337627602.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3441557486 + ... + 3441557522.

It is an arithmetic number, because the mean of its divisors is an integer number (785108576).

Almost surely, 2^127337627648 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 127337627648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169583452416).

127337627648 is an abundant number, since it is smaller than the sum of its proper divisors (211829277184).

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

127337627648 is an frugal number, since it uses more digits than its factorization.

127337627648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131 (or 88 counting only the distinct ones).

The product of its digits is 14224896, while the sum is 56.

The spelling of 127337627648 in words is "one hundred twenty-seven billion, three hundred thirty-seven million, six hundred twenty-seven thousand, six hundred forty-eight".