6768517441 has 45 divisors (see below), whose sum is σ = 8368993059. Its totient is φ = 5473325088.

The previous prime is 6768517387. The next prime is 6768517447. The reversal of 6768517441 is 1447158676.

It is a happy number.

The square root of 6768517441 is 82271.

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., 3842140225 + 2926377216 = 61985^2 + 54096^2 .

It is not a de Polignac number, because 6768517441 - 2⁹ = 6768516929 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is not an unprimeable number, because it can be changed into a prime (6768517447) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 92719381 + ... + 92719453.

Almost surely, 2^6768517441 is an apocalyptic number.

6768517441 is the 82271-st square number.

6768517441 is the 41136-th centered octagonal number.

It is an amenable number.

6768517441 is a deficient number, since it is larger than the sum of its proper divisors (1600475618).

6768517441 is an frugal number, since it uses more digits than its factorization.

6768517441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 220 (or 103 counting only the distinct ones).

The product of its digits is 1128960, while the sum is 49.

The cubic root of 6768517441 is about 1891.6081831217.

Multiplying 6768517441 by its sum of digits (49), we get a square (331657354609 = 575897²).

6768517441 divided by its sum of digits (49) gives a square (138133009 = 11753²).

The spelling of 6768517441 in words is "six billion, seven hundred sixty-eight million, five hundred seventeen thousand, four hundred forty-one".