6718916961 has 27 divisors (see below), whose sum is σ = 9847449651. Its totient is φ = 4414522464.

The previous prime is 6718916959. The next prime is 6718916977. The reversal of 6718916961 is 1696198176.

It is a happy number.

The square root of 6718916961 is 81969.

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., 1290174561 + 5428742400 = 35919^2 + 73680^2 .

It is not a de Polignac number, because 6718916961 - 2¹ = 6718916959 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 6718916898 and 6718916907.

It is not an unprimeable number, because it can be changed into a prime (6718916921) 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, 21885570 + ... + 21885876.

Almost surely, 2^6718916961 is an apocalyptic number.

6718916961 is the 81969-th square number.

6718916961 is the 40985-th centered octagonal number.

It is an amenable number.

6718916961 is a deficient number, since it is larger than the sum of its proper divisors (3128532690).

6718916961 is an frugal number, since it uses more digits than its factorization.

6718916961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 798 (or 399 counting only the distinct ones).

The product of its digits is 979776, while the sum is 54.

The cubic root of 6718916961 is about 1886.9762087717.

The spelling of 6718916961 in words is "six billion, seven hundred eighteen million, nine hundred sixteen thousand, nine hundred sixty-one".