6779664 has 90 divisors (see below), whose sum is σ = 20057310. Its totient is φ = 2137344.

The previous prime is 6779657. The next prime is 6779671. The reversal of 6779664 is 4669776.

It is an interprime number because it is at equal distance from previous prime (6779657) and next prime (6779671).

It can be written as a sum of positive squares in only one way, i.e., 4875264 + 1904400 = 2208^2 + 1380^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 76132 + ... + 76220.

It is an arithmetic number, because the mean of its divisors is an integer number (222859).

Almost surely, 2^6779664 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6779664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10028655).

6779664 is an abundant number, since it is smaller than the sum of its proper divisors (13277646).

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

6779664 is a wasteful number, since it uses less digits than its factorization.

6779664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149 (or 117 counting only the distinct ones).

The product of its digits is 381024, while the sum is 45.

The square root of 6779664 is about 2603.7787924476. The cubic root of 6779664 is about 189.2645995739.

The spelling of 6779664 in words is "six million, seven hundred seventy-nine thousand, six hundred sixty-four".