127734430464 has 144 divisors (see below), whose sum is σ = 378344727040. Its totient is φ = 42509214720.

The previous prime is 127734430451. The next prime is 127734430471. The reversal of 127734430464 is 464034437721.

127734430464 is a `hidden beast` number, since 1 + 277 + 344 + 30 + 4 + 6 + 4 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4346829 + ... + 4376115.

Almost surely, 2^127734430464 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 127734430464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189172363520).

127734430464 is an abundant number, since it is smaller than the sum of its proper divisors (250610296576).

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

127734430464 is an equidigital number, since it uses as much as digits as its factorization.

127734430464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29943 (or 29923 counting only the distinct ones).

The product of its (nonzero) digits is 1354752, while the sum is 45.

The spelling of 127734430464 in words is "one hundred twenty-seven billion, seven hundred thirty-four million, four hundred thirty thousand, four hundred sixty-four".