6633600480144 has 1120 divisors, whose sum is σ = 22873724797440. Its totient is φ = 1856538351360.

The previous prime is 6633600480139. The next prime is 6633600480161. The reversal of 6633600480144 is 4410840063366.

It is a happy number.

6633600480144 is a `hidden beast` number, since 6 + 6 + 33 + 600 + 4 + 8 + 0 + 1 + 4 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 6633600480144.

It is an unprimeable number.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 12683748267 + ... + 12683748789.

Almost surely, 2^{6633600480144} 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 6633600480144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11436862398720).

6633600480144 is an abundant number, since it is smaller than the sum of its proper divisors (16240124317296).

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

6633600480144 is a wasteful number, since it uses less digits than its factorization.

6633600480144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 644 (or 601 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 45.

The spelling of 6633600480144 in words is "six trillion, six hundred thirty-three billion, six hundred million, four hundred eighty thousand, one hundred forty-four".