6328445760 has 560 divisors, whose sum is σ = 27716658816. Its totient is φ = 1334734848.

The previous prime is 6328445723. The next prime is 6328445777. The reversal of 6328445760 is 675448236.

6328445760 is a `hidden beast` number, since 6 + 32 + 8 + 44 + 576 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (560).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2357379 + ... + 2360061.

Almost surely, 2^6328445760 is an apocalyptic number.

6328445760 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 6328445760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13858329408).

6328445760 is an abundant number, since it is smaller than the sum of its proper divisors (21388213056).

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

6328445760 is a wasteful number, since it uses less digits than its factorization.

6328445760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2732 (or 2713 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

The square root of 6328445760 is about 79551.5289607937. The cubic root of 6328445760 is about 1849.6903070592.

The spelling of 6328445760 in words is "six billion, three hundred twenty-eight million, four hundred forty-five thousand, seven hundred sixty".