6801747456256 has 243 divisors, whose sum is σ = 15019468150869. Its totient is φ = 3073536423936.

The previous prime is 6801747456253. The next prime is 6801747456271. The reversal of 6801747456256 is 6526547471086.

The square root of 6801747456256 is 2608016.

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., 3697159840000 + 3104587616256 = 1922800^2 + 1761984^2 .

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 6801747456194 and 6801747456203.

It is not an unprimeable number, because it can be changed into a prime (6801747456253) 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, 18235247686 + ... + 18235248058.

Almost surely, 2^{6801747456256} is an apocalyptic number.

6801747456256 is the 2608016-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6801747456256

6801747456256 is an abundant number, since it is smaller than the sum of its proper divisors (8217720694613).

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

6801747456256 is an frugal number, since it uses more digits than its factorization.

6801747456256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 846 (or 417 counting only the distinct ones).

The product of its (nonzero) digits is 67737600, while the sum is 61.

The spelling of 6801747456256 in words is "six trillion, eight hundred one billion, seven hundred forty-seven million, four hundred fifty-six thousand, two hundred fifty-six".