6345032320 has 128 divisors (see below), whose sum is σ = 16995484800. Its totient is φ = 2244833280.

The previous prime is 6345032299. The next prime is 6345032327. The reversal of 6345032320 is 232305436.

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (6345032327) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 248301 + ... + 272659.

It is an arithmetic number, because the mean of its divisors is an integer number (132777225).

Almost surely, 2^6345032320 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6345032320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8497742400).

6345032320 is an abundant number, since it is smaller than the sum of its proper divisors (10650452480).

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

6345032320 is a wasteful number, since it uses less digits than its factorization.

6345032320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24426 (or 24414 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 28.

The square root of 6345032320 is about 79655.7111574556. The cubic root of 6345032320 is about 1851.3048811990.

Adding to 6345032320 its reverse (232305436), we get a palindrome (6577337756).

The spelling of 6345032320 in words is "six billion, three hundred forty-five million, thirty-two thousand, three hundred twenty".