5584936768320 has 448 divisors, whose sum is σ = 22236010513920. Its totient is φ = 1156126113792.

The previous prime is 5584936768141. The next prime is 5584936768399. The reversal of 5584936768320 is 238676394855.

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-2 number, since 2×5584936768320² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4026966 + ... + 5233194.

It is an arithmetic number, because the mean of its divisors is an integer number (49633952040).

Almost surely, 2^{5584936768320} 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 5584936768320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11118005256960).

5584936768320 is an abundant number, since it is smaller than the sum of its proper divisors (16651073745600).

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

5584936768320 is a wasteful number, since it uses less digits than its factorization.

5584936768320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1206322 (or 1206312 counting only the distinct ones).

The product of its (nonzero) digits is 261273600, while the sum is 66.

The spelling of 5584936768320 in words is "five trillion, five hundred eighty-four billion, nine hundred thirty-six million, seven hundred sixty-eight thousand, three hundred twenty".