7127938284480 has 1792 divisors, whose sum is σ = 28516577886720. Its totient is φ = 1685528248320.

The previous prime is 7127938284433. The next prime is 7127938284497. The reversal of 7127938284480 is 844828397217.

7127938284480 is a `hidden beast` number, since 7 + 1 + 2 + 79 + 3 + 8 + 2 + 84 + 480 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 36182427742 + ... + 36182427938.

It is an arithmetic number, because the mean of its divisors is an integer number (15913268910).

Almost surely, 2^{7127938284480} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7127938284480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14258288943360).

7127938284480 is an abundant number, since it is smaller than the sum of its proper divisors (21388639602240).

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

7127938284480 is a wasteful number, since it uses less digits than its factorization.

7127938284480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 386 (or 358 counting only the distinct ones).

The product of its (nonzero) digits is 43352064, while the sum is 63.

The spelling of 7127938284480 in words is "seven trillion, one hundred twenty-seven billion, nine hundred thirty-eight million, two hundred eighty-four thousand, four hundred eighty".