6677664 has 96 divisors (see below), whose sum is σ = 21127680. Its totient is φ = 1804032.

The previous prime is 6677663. The next prime is 6677677. The reversal of 6677664 is 4667766.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (6677663) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12507 + ... + 13029.

It is an arithmetic number, because the mean of its divisors is an integer number (220080).

Almost surely, 2^6677664 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 6677664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10563840).

6677664 is an abundant number, since it is smaller than the sum of its proper divisors (14450016).

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

6677664 is a wasteful number, since it uses less digits than its factorization.

6677664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 562 (or 554 counting only the distinct ones).

The product of its digits is 254016, while the sum is 42.

The square root of 6677664 is about 2584.1176443808. The cubic root of 6677664 is about 188.3106377921.

The spelling of 6677664 in words is "six million, six hundred seventy-seven thousand, six hundred sixty-four".