127827349740 has 144 divisors (see below), whose sum is σ = 392370241536. Its totient is φ = 33682896000.

The previous prime is 127827349679. The next prime is 127827349747. The reversal of 127827349740 is 47943728721.

127827349740 is a `hidden beast` number, since 1 + 2 + 7 + 82 + 73 + 497 + 4 + 0 = 666.

It is not an unprimeable number, because it can be changed into a prime (127827349747) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5179069 + ... + 5203691.

It is an arithmetic number, because the mean of its divisors is an integer number (2724793344).

Almost surely, 2^127827349740 is an apocalyptic number.

127827349740 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 127827349740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196185120768).

127827349740 is an abundant number, since it is smaller than the sum of its proper divisors (264542891796).

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

127827349740 is a wasteful number, since it uses less digits than its factorization.

127827349740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24980 (or 24975 counting only the distinct ones).

The product of its (nonzero) digits is 4741632, while the sum is 54.

The spelling of 127827349740 in words is "one hundred twenty-seven billion, eight hundred twenty-seven million, three hundred forty-nine thousand, seven hundred forty".