6345750528 has 288 divisors, whose sum is σ = 20069169120. Its totient is φ = 1919877120.

The previous prime is 6345750493. The next prime is 6345750533. The reversal of 6345750528 is 8250575436.

6345750528 is a `hidden beast` number, since 634 + 5 + 7 + 5 + 0 + 5 + 2 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×6345750528² = 80537099527224557568, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17012550 + ... + 17012922.

It is an arithmetic number, because the mean of its divisors is an integer number (69684615).

Almost surely, 2^6345750528 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 6345750528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10034584560).

6345750528 is an abundant number, since it is smaller than the sum of its proper divisors (13723418592).

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

6345750528 is a wasteful number, since it uses less digits than its factorization.

6345750528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 485 (or 462 counting only the distinct ones).

The product of its (nonzero) digits is 1008000, while the sum is 45.

The square root of 6345750528 is about 79660.2192314332. The cubic root of 6345750528 is about 1851.3747296381.

The spelling of 6345750528 in words is "six billion, three hundred forty-five million, seven hundred fifty thousand, five hundred twenty-eight".