6345983232 has 360 divisors, whose sum is σ = 20010984840. Its totient is φ = 1997291520.

The previous prime is 6345983219. The next prime is 6345983263. The reversal of 6345983232 is 2323895436.

6345983232 is a `hidden beast` number, since 6 + 34 + 598 + 3 + 23 + 2 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 717382656 + 5628600576 = 26784^2 + 75024^2 .

It is a super-4 number, since 4×6345983232⁴ (a number of 40 digits) contains 4444 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 36681898 + ... + 36682070.

It is an arithmetic number, because the mean of its divisors is an integer number (55586069).

Almost surely, 2^6345983232 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 6345983232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10005492420).

6345983232 is an abundant number, since it is smaller than the sum of its proper divisors (13665001608).

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

6345983232 is a wasteful number, since it uses less digits than its factorization.

6345983232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 291 (or 268 counting only the distinct ones).

The product of its digits is 933120, while the sum is 45.

The square root of 6345983232 is about 79661.6798216056. The cubic root of 6345983232 is about 1851.3973598501.

The spelling of 6345983232 in words is "six billion, three hundred forty-five million, nine hundred eighty-three thousand, two hundred thirty-two".