127468773432 has 768 divisors, whose sum is σ = 488198430720. Its totient is φ = 28960588800.

The previous prime is 127468773391. The next prime is 127468773451. The reversal of 127468773432 is 234377864721.

127468773432 is a `hidden beast` number, since 1 + 27 + 46 + 87 + 73 + 432 = 666.

It is a nude number because it is divisible by every one of its digits.

Its product of digits (9483264) is a multiple of the sum of its prime factors (784).

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 191 ways as a sum of consecutive naturals, for example, 217152643 + ... + 217153229.

It is an arithmetic number, because the mean of its divisors is an integer number (635675040).

Almost surely, 2^127468773432 is an apocalyptic number.

127468773432 is a gapful number since it is divisible by the number (12) 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 127468773432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244099215360).

127468773432 is an abundant number, since it is smaller than the sum of its proper divisors (360729657288).

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

127468773432 is a wasteful number, since it uses less digits than its factorization.

127468773432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 784 (or 777 counting only the distinct ones).

The product of its digits is 9483264, while the sum is 54.

The spelling of 127468773432 in words is "one hundred twenty-seven billion, four hundred sixty-eight million, seven hundred seventy-three thousand, four hundred thirty-two".