127699727328 has 144 divisors (see below), whose sum is σ = 366919128576. Its totient is φ = 42126013440.

The previous prime is 127699727327. The next prime is 127699727329. The reversal of 127699727328 is 823727996721.

127699727328 is a `hidden beast` number, since 1 + 276 + 9 + 97 + 273 + 2 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (127699727327) and next prime (127699727329).

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (127699727327) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15394350 + ... + 15402642.

It is an arithmetic number, because the mean of its divisors is an integer number (2548049504).

Almost surely, 2^127699727328 is an apocalyptic number.

127699727328 is a gapful number since it is divisible by the number (18) 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 127699727328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183459564288).

127699727328 is an abundant number, since it is smaller than the sum of its proper divisors (239219401248).

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

127699727328 is a wasteful number, since it uses less digits than its factorization.

127699727328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8857 (or 8846 counting only the distinct ones).

The product of its digits is 32006016, while the sum is 63.

The spelling of 127699727328 in words is "one hundred twenty-seven billion, six hundred ninety-nine million, seven hundred twenty-seven thousand, three hundred twenty-eight".