5508768960 has 224 divisors, whose sum is σ = 19511467200. Its totient is φ = 1463132160.

The previous prime is 5508768953. The next prime is 5508768977. The reversal of 5508768960 is 698678055.

5508768960 is a `hidden beast` number, since 5 + 508 + 76 + 8 + 9 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 5508768897 and 5508768906.

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, 2426706 + ... + 2428974.

Almost surely, 2^5508768960 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 5508768960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9755733600).

5508768960 is an abundant number, since it is smaller than the sum of its proper divisors (14002698240).

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

5508768960 is a wasteful number, since it uses less digits than its factorization.

5508768960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2576 (or 2560 counting only the distinct ones).

The product of its (nonzero) digits is 3628800, while the sum is 54.

The square root of 5508768960 is about 74221.0816412696. The cubic root of 5508768960 is about 1766.1117751017. Note that the first 3 decimals are identical.

The spelling of 5508768960 in words is "five billion, five hundred eight million, seven hundred sixty-eight thousand, nine hundred sixty".