6345884160 has 960 divisors, whose sum is σ = 28342828800. Its totient is φ = 1300561920.

The previous prime is 6345884159. The next prime is 6345884179. The reversal of 6345884160 is 614885436.

6345884160 is a `hidden beast` number, since 6 + 3 + 4 + 588 + 4 + 1 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

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 (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 86929884 + ... + 86929956.

It is an arithmetic number, because the mean of its divisors is an integer number (29523780).

Almost surely, 2^6345884160 is an apocalyptic number.

6345884160 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 6345884160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14171414400).

6345884160 is an abundant number, since it is smaller than the sum of its proper divisors (21996944640).

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

6345884160 is a wasteful number, since it uses less digits than its factorization.

6345884160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The square root of 6345884160 is about 79661.0579894593. The cubic root of 6345884160 is about 1851.3877252730.

The spelling of 6345884160 in words is "six billion, three hundred forty-five million, eight hundred eighty-four thousand, one hundred sixty".