127667002014 has 128 divisors (see below), whose sum is σ = 303139169280. Its totient is φ = 39740101632.

The previous prime is 127667002013. The next prime is 127667002049. The reversal of 127667002014 is 410200766721.

It is a self number, because there is not a number n which added to its sum of digits gives 127667002014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (127667002013) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 9396394 + ... + 9409970.

It is an arithmetic number, because the mean of its divisors is an integer number (2368274760).

Almost surely, 2^127667002014 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 127667002014, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151569584640).

127667002014 is an abundant number, since it is smaller than the sum of its proper divisors (175472167266).

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

127667002014 is a wasteful number, since it uses less digits than its factorization.

127667002014 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13791 (or 13785 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

Adding to 127667002014 its reverse (410200766721), we get a palindrome (537867768735).

The spelling of 127667002014 in words is "one hundred twenty-seven billion, six hundred sixty-seven million, two thousand, fourteen".