6581633331280 has 320 divisors, whose sum is σ = 18764339005440. Its totient is φ = 2095497510912.

The previous prime is 6581633331277. The next prime is 6581633331281. The reversal of 6581633331280 is 821333361856.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6581633331281) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1862900394 + ... + 1862903926.

It is an arithmetic number, because the mean of its divisors is an integer number (58638559392).

Almost surely, 2^{6581633331280} 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 6581633331280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9382169502720).

6581633331280 is an abundant number, since it is smaller than the sum of its proper divisors (12182705674160).

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

6581633331280 is a wasteful number, since it uses less digits than its factorization.

6581633331280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6126 (or 6120 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 49.

The spelling of 6581633331280 in words is "six trillion, five hundred eighty-one billion, six hundred thirty-three million, three hundred thirty-one thousand, two hundred eighty".