6632963388480 has 448 divisors, whose sum is σ = 24750357408000. Its totient is φ = 1483763220480.

The previous prime is 6632963388463. The next prime is 6632963388533. The reversal of 6632963388480 is 848833692366.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 473471716 + ... + 473485724.

It is an arithmetic number, because the mean of its divisors is an integer number (55246333500).

Almost surely, 2^{6632963388480} is an apocalyptic number.

6632963388480 is a gapful number since it is divisible by the number (60) 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 6632963388480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12375178704000).

6632963388480 is an abundant number, since it is smaller than the sum of its proper divisors (18117394019520).

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

6632963388480 is a wasteful number, since it uses less digits than its factorization.

6632963388480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17502 (or 17492 counting only the distinct ones).

The product of its (nonzero) digits is 214990848, while the sum is 66.

The spelling of 6632963388480 in words is "six trillion, six hundred thirty-two billion, nine hundred sixty-three million, three hundred eighty-eight thousand, four hundred eighty".