6345682560 has 896 divisors, whose sum is σ = 27291772800. Its totient is φ = 1379524608.

The previous prime is 6345682507. The next prime is 6345682561. The reversal of 6345682560 is 652865436.

6345682560 is a `hidden beast` number, since 6 + 3 + 4 + 5 + 6 + 82 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (896).

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 (6345682561) 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 111 ways as a sum of consecutive naturals, for example, 94711647 + ... + 94711713.

Almost surely, 2^6345682560 is an apocalyptic number.

6345682560 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 6345682560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13645886400).

6345682560 is an abundant number, since it is smaller than the sum of its proper divisors (20946090240).

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

6345682560 is an equidigital number, since it uses as much as digits as its factorization.

6345682560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 45.

The square root of 6345682560 is about 79659.7926183592. The cubic root of 6345682560 is about 1851.3681197193.

The spelling of 6345682560 in words is "six billion, three hundred forty-five million, six hundred eighty-two thousand, five hundred sixty".