127378034784 has 768 divisors, whose sum is σ = 515022520320. Its totient is φ = 29548800000.

The previous prime is 127378034737. The next prime is 127378034813. The reversal of 127378034784 is 487430873721.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 127378034784.

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, 26808409 + ... + 26813159.

It is an arithmetic number, because the mean of its divisors is an integer number (670602240).

Almost surely, 2^127378034784 is an apocalyptic number.

127378034784 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 127378034784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257511260160).

127378034784 is an abundant number, since it is smaller than the sum of its proper divisors (387644485536).

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

127378034784 is a wasteful number, since it uses less digits than its factorization.

127378034784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4832 (or 4818 counting only the distinct ones).

The product of its (nonzero) digits is 6322176, while the sum is 54.

The spelling of 127378034784 in words is "one hundred twenty-seven billion, three hundred seventy-eight million, thirty-four thousand, seven hundred eighty-four".