6345264016 has 320 divisors, whose sum is σ = 16887808000. Its totient is φ = 2286144000.

The previous prime is 6345264007. The next prime is 6345264019. The reversal of 6345264016 is 6104625436.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6345264019) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 42021541 + ... + 42021691.

It is an arithmetic number, because the mean of its divisors is an integer number (52774400).

Almost surely, 2^6345264016 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 6345264016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8443904000).

6345264016 is an abundant number, since it is smaller than the sum of its proper divisors (10542543984).

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

6345264016 is a wasteful number, since it uses less digits than its factorization.

6345264016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 243 (or 223 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 37.

The square root of 6345264016 is about 79657.1655031737. The cubic root of 6345264016 is about 1851.3274150855.

The spelling of 6345264016 in words is "six billion, three hundred forty-five million, two hundred sixty-four thousand, sixteen".