6522350063328 has 960 divisors, whose sum is σ = 23193688573440. Its totient is φ = 1773674496000.

The previous prime is 6522350063323. The next prime is 6522350063407. The reversal of 6522350063328 is 8233600532256.

6522350063328 is a `hidden beast` number, since 6 + 5 + 2 + 2 + 3 + 5 + 0 + 0 + 633 + 2 + 8 = 666.

It is a super-2 number, since 2×6522350063328² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6522350063323) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 4470424263 + ... + 4470425721.

It is an arithmetic number, because the mean of its divisors is an integer number (24160092264).

Almost surely, 2^{6522350063328} is an apocalyptic number.

6522350063328 is a gapful number since it is divisible by the number (68) 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 6522350063328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11596844286720).

6522350063328 is an abundant number, since it is smaller than the sum of its proper divisors (16671338510112).

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

6522350063328 is a wasteful number, since it uses less digits than its factorization.

6522350063328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1933 (or 1916 counting only the distinct ones).

The product of its (nonzero) digits is 1555200, while the sum is 45.

The spelling of 6522350063328 in words is "six trillion, five hundred twenty-two billion, three hundred fifty million, sixty-three thousand, three hundred twenty-eight".