6330328916352 has 384 divisors, whose sum is σ = 20209129113600. Its totient is φ = 1748768071680.

The previous prime is 6330328916341. The next prime is 6330328916357. The reversal of 6330328916352 is 2536198230336.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×6330328916352² (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 6330328916295 and 6330328916304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6330328916357) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 760030524 + ... + 760038852.

It is an arithmetic number, because the mean of its divisors is an integer number (52627940400).

Almost surely, 2^{6330328916352} is an apocalyptic number.

6330328916352 is a gapful number since it is divisible by the number (62) 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 6330328916352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10104564556800).

6330328916352 is an abundant number, since it is smaller than the sum of its proper divisors (13878800197248).

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

6330328916352 is a wasteful number, since it uses less digits than its factorization.

6330328916352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9694 (or 9675 counting only the distinct ones).

The product of its (nonzero) digits is 4199040, while the sum is 51.

The spelling of 6330328916352 in words is "six trillion, three hundred thirty billion, three hundred twenty-eight million, nine hundred sixteen thousand, three hundred fifty-two".