6380756832256 has 117 divisors (see below), whose sum is σ = 13224843701563. Its totient is φ = 3078102056960.

The previous prime is 6380756832253. The next prime is 6380756832337. The reversal of 6380756832256 is 6522386570836.

The square root of 6380756832256 is 2526016.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 694248902656 + 5686507929600 = 833216^2 + 2384640^2 .

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 6380756832194 and 6380756832203.

It is not an unprimeable number, because it can be changed into a prime (6380756832251) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 4688285016 + ... + 4688286376.

Almost surely, 2^{6380756832256} is an apocalyptic number.

6380756832256 is the 2526016-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6380756832256

6380756832256 is an abundant number, since it is smaller than the sum of its proper divisors (6844086869307).

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

6380756832256 is an frugal number, since it uses more digits than its factorization.

6380756832256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2804 (or 1392 counting only the distinct ones).

The product of its (nonzero) digits is 87091200, while the sum is 61.

The spelling of 6380756832256 in words is "six trillion, three hundred eighty billion, seven hundred fifty-six million, eight hundred thirty-two thousand, two hundred fifty-six".