6647456160 has 120 divisors (see below), whose sum is σ = 23460026436. Its totient is φ = 1772651520.

The previous prime is 6647456131. The next prime is 6647456171. The reversal of 6647456160 is 616547466.

6647456160 is a `hidden beast` number, since 66 + 474 + 5 + 61 + 60 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 5623200144 + 1024256016 = 74988^2 + 32004^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (45).

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 19 ways as a sum of consecutive naturals, for example, 243501 + ... + 269420.

Almost surely, 2^6647456160 is an apocalyptic number.

6647456160 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

6647456160 is an abundant number, since it is smaller than the sum of its proper divisors (16812570276).

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

6647456160 is a wasteful number, since it uses less digits than its factorization.

6647456160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 512948 (or 512931 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The square root of 6647456160 is about 81531.9333758252. The cubic root of 6647456160 is about 1880.2625406698.

The spelling of 6647456160 in words is "six billion, six hundred forty-seven million, four hundred fifty-six thousand, one hundred sixty".