5655605760 has 320 divisors, whose sum is σ = 22961030400. Its totient is φ = 1292599296.

The previous prime is 5655605743. The next prime is 5655605771. The reversal of 5655605760 is 675065565.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 477996 + ... + 489684.

It is an arithmetic number, because the mean of its divisors is an integer number (71753220).

Almost surely, 2^5655605760 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 5655605760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11480515200).

5655605760 is an abundant number, since it is smaller than the sum of its proper divisors (17305424640).

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

5655605760 is a wasteful number, since it uses less digits than its factorization.

5655605760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11728 (or 11706 counting only the distinct ones).

The product of its (nonzero) digits is 945000, while the sum is 45.

The square root of 5655605760 is about 75203.7616080472. The cubic root of 5655605760 is about 1781.6663434533. Note that the first 3 decimals are identical.

The spelling of 5655605760 in words is "five billion, six hundred fifty-five million, six hundred five thousand, seven hundred sixty".