6680464560 has 480 divisors, whose sum is σ = 28663165440. Its totient is φ = 1353830400.

The previous prime is 6680464547. The next prime is 6680464561. The reversal of 6680464560 is 654640866.

6680464560 is a `hidden beast` number, since 6 + 6 + 80 + 4 + 6 + 4 + 560 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (6680464561) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2271571 + ... + 2274509.

It is an arithmetic number, because the mean of its divisors is an integer number (59714928).

Almost surely, 2^6680464560 is an apocalyptic number.

6680464560 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 6680464560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14331582720).

6680464560 is an abundant number, since it is smaller than the sum of its proper divisors (21982700880).

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

6680464560 is a wasteful number, since it uses less digits than its factorization.

6680464560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3017 (or 3008 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The square root of 6680464560 is about 81734.1089142104. The cubic root of 6680464560 is about 1883.3695944846.

The spelling of 6680464560 in words is "six billion, six hundred eighty million, four hundred sixty-four thousand, five hundred sixty".