6766416 has 100 divisors (see below), whose sum is σ = 20525472. Its totient is φ = 2147904.

The previous prime is 6766411. The next prime is 6766423. The reversal of 6766416 is 6146676.

6766416 is a `hidden beast` number, since 6 + 7 + 6 + 641 + 6 = 666.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6766411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 29695 + ... + 29921.

Almost surely, 2^6766416 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 6766416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10262736).

6766416 is an abundant number, since it is smaller than the sum of its proper divisors (13759056).

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

6766416 is a wasteful number, since it uses less digits than its factorization.

6766416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 270 (or 255 counting only the distinct ones).

The product of its digits is 36288, while the sum is 36.

The square root of 6766416 is about 2601.2335535280. The cubic root of 6766416 is about 189.1412398521.

The spelling of 6766416 in words is "six million, seven hundred sixty-six thousand, four hundred sixteen".