5632829427744 has 288 divisors, whose sum is σ = 16453449492480. Its totient is φ = 1827334080000.

The previous prime is 5632829427727. The next prime is 5632829427763. The reversal of 5632829427744 is 4477249282365.

5632829427744 is a `hidden beast` number, since 5 + 6 + 32 + 8 + 294 + 277 + 44 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 787694569 + ... + 787701719.

It is an arithmetic number, because the mean of its divisors is an integer number (57130032960).

Almost surely, 2^{5632829427744} 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 5632829427744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8226724746240).

5632829427744 is an abundant number, since it is smaller than the sum of its proper divisors (10820620064736).

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

5632829427744 is a wasteful number, since it uses less digits than its factorization.

5632829427744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7684 (or 7673 counting only the distinct ones).

The product of its digits is 162570240, while the sum is 63.

The spelling of 5632829427744 in words is "five trillion, six hundred thirty-two billion, eight hundred twenty-nine million, four hundred twenty-seven thousand, seven hundred forty-four".