6543326094400 has 168 divisors, whose sum is σ = 16549594648776. Its totient is φ = 2544471244800.

The previous prime is 6543326094379. The next prime is 6543326094421. The reversal of 6543326094400 is 44906233456.

It is an interprime number because it is at equal distance from previous prime (6543326094379) and next prime (6543326094421).

It can be written as a sum of positive squares in 12 ways, for example, as 642857582656 + 5900468511744 = 801784^2 + 2429088^2 .

It is a super-2 number, since 2×6543326094400² (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 72000990 + ... + 72091810.

It is an arithmetic number, because the mean of its divisors is an integer number (98509491957).

Almost surely, 2^{6543326094400} 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 6543326094400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8274797324388).

6543326094400 is an abundant number, since it is smaller than the sum of its proper divisors (10006268554376).

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

6543326094400 is a wasteful number, since it uses less digits than its factorization.

6543326094400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92097 (or 92082 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 46.

The spelling of 6543326094400 in words is "six trillion, five hundred forty-three billion, three hundred twenty-six million, ninety-four thousand, four hundred".