5584352673792 has 512 divisors, whose sum is σ = 15873956904960. Its totient is φ = 1743496151040.

The previous prime is 5584352673721. The next prime is 5584352673803. The reversal of 5584352673792 is 2973762534855.

It is a tau number, because it is divible by the number of its divisors (512).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18190073703 + ... + 18190074009.

It is an arithmetic number, because the mean of its divisors is an integer number (31003822080).

Almost surely, 2^{5584352673792} 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 5584352673792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7936978452480).

5584352673792 is an abundant number, since it is smaller than the sum of its proper divisors (10289604231168).

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

5584352673792 is a wasteful number, since it uses less digits than its factorization.

5584352673792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 545 (or 517 counting only the distinct ones).

The product of its digits is 381024000, while the sum is 66.

The spelling of 5584352673792 in words is "five trillion, five hundred eighty-four billion, three hundred fifty-two million, six hundred seventy-three thousand, seven hundred ninety-two".