6786384494761 has 27 divisors (see below), whose sum is σ = 7104361660311. Its totient is φ = 6482495380704.

The previous prime is 6786384494737. The next prime is 6786384494783. The reversal of 6786384494761 is 1674944836876.

The square root of 6786384494761 is 2605069.

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., 5505503797161 + 1280880697600 = 2346381^2 + 1131760^2 .

It is not a de Polignac number, because 6786384494761 - 2³⁷ = 6648945541289 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (6786384494261) 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, 5264843805 + ... + 5264845093.

Almost surely, 2^{6786384494761} is an apocalyptic number.

6786384494761 is the 2605069-th square number.

6786384494761 is the 1302535-th centered octagonal number.

It is an amenable number.

6786384494761 is a deficient number, since it is larger than the sum of its proper divisors (317977165550).

6786384494761 is an frugal number, since it uses more digits than its factorization.

6786384494761 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2758 (or 1379 counting only the distinct ones).

The product of its digits is 1170505728, while the sum is 73.

The spelling of 6786384494761 in words is "six trillion, seven hundred eighty-six billion, three hundred eighty-four million, four hundred ninety-four thousand, seven hundred sixty-one".