6632810821728 has 1152 divisors, whose sum is σ = 24799517245440. Its totient is φ = 1687409418240.

The previous prime is 6632810821727. The next prime is 6632810821729. The reversal of 6632810821728 is 8271280182366.

6632810821728 is a `hidden beast` number, since 66 + 328 + 10 + 82 + 172 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (6632810821727) and next prime (6632810821729).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6632810821727) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 4802903598 + ... + 4802904978.

It is an arithmetic number, because the mean of its divisors is an integer number (21527358720).

Almost surely, 2^{6632810821728} 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 6632810821728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12399758622720).

6632810821728 is an abundant number, since it is smaller than the sum of its proper divisors (18166706423712).

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

6632810821728 is a wasteful number, since it uses less digits than its factorization.

6632810821728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1597 (or 1570 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 54.

The spelling of 6632810821728 in words is "six trillion, six hundred thirty-two billion, eight hundred ten million, eight hundred twenty-one thousand, seven hundred twenty-eight".