127468743024 has 160 divisors (see below), whose sum is σ = 378375782400. Its totient is φ = 36222840576.

The previous prime is 127468742993. The next prime is 127468743037. The reversal of 127468743024 is 420347864721.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 61787017 + ... + 61789079.

It is an arithmetic number, because the mean of its divisors is an integer number (2364848640).

Almost surely, 2^127468743024 is an apocalyptic number.

127468743024 is a gapful number since it is divisible by the number (14) 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 127468743024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189187891200).

127468743024 is an abundant number, since it is smaller than the sum of its proper divisors (250907039376).

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

127468743024 is a wasteful number, since it uses less digits than its factorization.

127468743024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2987 (or 2981 counting only the distinct ones).

The product of its (nonzero) digits is 1806336, while the sum is 48.

The spelling of 127468743024 in words is "one hundred twenty-seven billion, four hundred sixty-eight million, seven hundred forty-three thousand, twenty-four".