6330305664 has 96 divisors (see below), whose sum is σ = 18355605840. Its totient is φ = 2093944320.

The previous prime is 6330305633. The next prime is 6330305689. The reversal of 6330305664 is 4665030336.

It is a happy number.

6330305664 is a `hidden beast` number, since 63 + 3 + 0 + 30 + 566 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 129939 + ... + 171885.

Almost surely, 2^6330305664 is an apocalyptic number.

6330305664 is a gapful number since it is divisible by the number (64) 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 6330305664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9177802920).

6330305664 is an abundant number, since it is smaller than the sum of its proper divisors (12025300176).

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

6330305664 is a wasteful number, since it uses less digits than its factorization.

6330305664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42098 (or 42083 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 36.

The square root of 6330305664 is about 79563.2180344662. The cubic root of 6330305664 is about 1849.8714947506.

The spelling of 6330305664 in words is "six billion, three hundred thirty million, three hundred five thousand, six hundred sixty-four".