127682832384 has 240 divisors, whose sum is σ = 390701771460. Its totient is φ = 41520660480.

The previous prime is 127682832383. The next prime is 127682832449. The reversal of 127682832384 is 483238286721.

127682832384 is a `hidden beast` number, since 127 + 6 + 8 + 283 + 238 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 126508262400 + 1174569984 = 355680^2 + 34272^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 127682832384.

It is not an unprimeable number, because it can be changed into a prime (127682832383) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 6792022 + ... + 6810794.

Almost surely, 2^127682832384 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 127682832384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195350885730).

127682832384 is an abundant number, since it is smaller than the sum of its proper divisors (263018939076).

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

127682832384 is an equidigital number, since it uses as much as digits as its factorization.

127682832384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18848 (or 18819 counting only the distinct ones).

The product of its digits is 6193152, while the sum is 54.

The spelling of 127682832384 in words is "one hundred twenty-seven billion, six hundred eighty-two million, eight hundred thirty-two thousand, three hundred eighty-four".