127984364064 has 288 divisors, whose sum is σ = 394020728640. Its totient is φ = 40409791488.

The previous prime is 127984364047. The next prime is 127984364071. The reversal of 127984364064 is 460463489721.

127984364064 is a `hidden beast` number, since 1 + 27 + 98 + 436 + 40 + 64 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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 127984364064.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 48903684 + ... + 48906300.

It is an arithmetic number, because the mean of its divisors is an integer number (1368127530).

Almost surely, 2^127984364064 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 127984364064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197010364320).

127984364064 is an abundant number, since it is smaller than the sum of its proper divisors (266036364576).

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

127984364064 is a wasteful number, since it uses less digits than its factorization.

127984364064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2789 (or 2752 counting only the distinct ones).

The product of its (nonzero) digits is 6967296, while the sum is 54.

The spelling of 127984364064 in words is "one hundred twenty-seven billion, nine hundred eighty-four million, three hundred sixty-four thousand, sixty-four".