6776733542656 has 243 divisors, whose sum is σ = 17304217851753. Its totient is φ = 2639036252160.

The previous prime is 6776733542651. The next prime is 6776733542659. The reversal of 6776733542656 is 6562453376776.

It is a happy number.

The square root of 6776733542656 is 2603216.

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

It can be written as a sum of positive squares in only one way, i.e., 6412806400 + 6770320736256 = 80080^2 + 2601984^2 .

It is a junction number, because it is equal to n+sod(n) for n = 6776733542591 and 6776733542600.

It is not an unprimeable number, because it can be changed into a prime (6776733542651) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 3207161056 + ... + 3207163168.

Almost surely, 2^{6776733542656} is an apocalyptic number.

6776733542656 is the 2603216-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6776733542656

6776733542656 is an abundant number, since it is smaller than the sum of its proper divisors (10527484309097).

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

6776733542656 is an frugal number, since it uses more digits than its factorization.

6776733542656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4278 (or 2133 counting only the distinct ones).

The product of its digits is 800150400, while the sum is 67.

The spelling of 6776733542656 in words is "six trillion, seven hundred seventy-six billion, seven hundred thirty-three million, five hundred forty-two thousand, six hundred fifty-six".