127546836480 has 960 divisors, whose sum is σ = 528494174208. Its totient is φ = 27816099840.

The previous prime is 127546836397. The next prime is 127546836481. The reversal of 127546836480 is 84638645721.

It is a happy number.

127546836480 is a `hidden beast` number, since 1 + 2 + 75 + 4 + 68 + 36 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (127546836481) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 484968829 + ... + 484969091.

Almost surely, 2^127546836480 is an apocalyptic number.

127546836480 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 127546836480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264247087104).

127546836480 is an abundant number, since it is smaller than the sum of its proper divisors (400947337728).

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

127546836480 is a wasteful number, since it uses less digits than its factorization.

127546836480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 427 (or 408 counting only the distinct ones).

The product of its (nonzero) digits is 7741440, while the sum is 54.

The spelling of 127546836480 in words is "one hundred twenty-seven billion, five hundred forty-six million, eight hundred thirty-six thousand, four hundred eighty".