127664741760 has 128 divisors (see below), whose sum is σ = 407053244160. Its totient is φ = 34033735680.

The previous prime is 127664741723. The next prime is 127664741791. The reversal of 127664741760 is 67147466721.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8138725 + ... + 8154395.

It is an arithmetic number, because the mean of its divisors is an integer number (3180103470).

Almost surely, 2^127664741760 is an apocalyptic number.

127664741760 is a gapful number since it is divisible by the number (10) 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 127664741760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203526622080).

127664741760 is an abundant number, since it is smaller than the sum of its proper divisors (279388502400).

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

127664741760 is a wasteful number, since it uses less digits than its factorization.

127664741760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19936 (or 19924 counting only the distinct ones).

The product of its (nonzero) digits is 2370816, while the sum is 51.

The spelling of 127664741760 in words is "one hundred twenty-seven billion, six hundred sixty-four million, seven hundred forty-one thousand, seven hundred sixty".