6683221760544 has 336 divisors, whose sum is σ = 22563761189760. Its totient is φ = 1907950464000.

The previous prime is 6683221760491. The next prime is 6683221760557. The reversal of 6683221760544 is 4450671223866.

6683221760544 is a `hidden beast` number, since 6 + 6 + 8 + 3 + 2 + 21 + 7 + 605 + 4 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 210472669 + ... + 210504419.

It is an arithmetic number, because the mean of its divisors is an integer number (67154051160).

Almost surely, 2^{6683221760544} 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 6683221760544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11281880594880).

6683221760544 is an abundant number, since it is smaller than the sum of its proper divisors (15880539429216).

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

6683221760544 is a wasteful number, since it uses less digits than its factorization.

6683221760544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33075 (or 33052 counting only the distinct ones).

The product of its (nonzero) digits is 11612160, while the sum is 54.

The spelling of 6683221760544 in words is "six trillion, six hundred eighty-three billion, two hundred twenty-one million, seven hundred sixty thousand, five hundred forty-four".