127345384320 has 1024 divisors, whose sum is σ = 559394242560. Its totient is φ = 23811194880.

The previous prime is 127345384223. The next prime is 127345384357. The reversal of 127345384320 is 23483543721.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 57804339 + ... + 57806541.

It is an arithmetic number, because the mean of its divisors is an integer number (546283440).

Almost surely, 2^127345384320 is an apocalyptic number.

127345384320 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 127345384320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (279697121280).

127345384320 is an abundant number, since it is smaller than the sum of its proper divisors (432048858240).

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

127345384320 is a wasteful number, since it uses less digits than its factorization.

127345384320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2283 (or 2271 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 42.

The spelling of 127345384320 in words is "one hundred twenty-seven billion, three hundred forty-five million, three hundred eighty-four thousand, three hundred twenty".