6577664 has 40 divisors (see below), whose sum is σ = 13626360. Its totient is φ = 3168256.

The previous prime is 6577663. The next prime is 6577679. The reversal of 6577664 is 4667756.

Its product of digits (211680) is a multiple of the sum of its prime factors (490).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6577661) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 14627 + ... + 15069.

It is an arithmetic number, because the mean of its divisors is an integer number (340659).

Almost surely, 2^6577664 is an apocalyptic number.

6577664 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6577664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6813180).

6577664 is an abundant number, since it is smaller than the sum of its proper divisors (7048696).

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

6577664 is an equidigital number, since it uses as much as digits as its factorization.

6577664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 490 (or 474 counting only the distinct ones).

The product of its digits is 211680, while the sum is 41.

The square root of 6577664 is about 2564.6956934498. The cubic root of 6577664 is about 187.3659035270.

The spelling of 6577664 in words is "six million, five hundred seventy-seven thousand, six hundred sixty-four".