6709788961 has 8 divisors (see below), whose sum is σ = 6745826984. Its totient is φ = 6673847040.

The previous prime is 6709788937. The next prime is 6709788971. The reversal of 6709788961 is 1698879076.

It can be written as a sum of positive squares in 4 ways, for example, as 23619600 + 6686169361 = 4860^2 + 81769^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a 3-Lehmer number, since φ(6709788961) divides (6709788961-1)³.

It is a cyclic number.

It is a Carmichael number.

It is not a de Polignac number, because 6709788961 - 2¹¹ = 6709786913 is a prime.

It is a deceptive number, since it divides R_6709788960.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 6709788961.

It is not an unprimeable number, because it can be changed into a prime (6709788971) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 118231 + ... + 165523.

It is an arithmetic number, because the mean of its divisors is an integer number (843228373).

It is a Poulet number, since it divides 2^6709788960-1.

Almost surely, 2^6709788961 is an apocalyptic number.

6709788961 is the 47293-rd octagonal number.

It is an amenable number.

6709788961 is a deficient number, since it is larger than the sum of its proper divisors (36038023).

6709788961 is a wasteful number, since it uses less digits than its factorization.

6709788961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48051.

The product of its (nonzero) digits is 9144576, while the sum is 61.

The square root of 6709788961 is about 81913.3014900511. The cubic root of 6709788961 is about 1886.1213028957.

The spelling of 6709788961 in words is "six billion, seven hundred nine million, seven hundred eighty-eight thousand, nine hundred sixty-one".