6557760 has 280 divisors, whose sum is σ = 26554176. Its totient is φ = 1520640.

The previous prime is 6557753. The next prime is 6557777. The reversal of 6557760 is 677556.

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 an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 285109 + ... + 285131.

Almost surely, 2^6557760 is an apocalyptic number.

6557760 is a gapful number since it is divisible by the number (60) 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 6557760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13277088).

6557760 is an abundant number, since it is smaller than the sum of its proper divisors (19996416).

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

6557760 is a wasteful number, since it uses less digits than its factorization.

6557760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63 (or 44 counting only the distinct ones).

The product of its (nonzero) digits is 44100, while the sum is 36.

The square root of 6557760 is about 2560.8123711041. The cubic root of 6557760 is about 187.1767229440.

The spelling of 6557760 in words is "six million, five hundred fifty-seven thousand, seven hundred sixty".