5519767680 has 960 divisors, whose sum is σ = 23932865880. Its totient is φ = 1207664640.

The previous prime is 5519767663. The next prime is 5519767699. The reversal of 5519767680 is 867679155.

5519767680 is a `hidden beast` number, since 5 + 519 + 7 + 67 + 68 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 3597120576 + 1922647104 = 59976^2 + 43848^2 .

It is a tau number, because it is divible by the number of its divisors (960).

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

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 104146534 + ... + 104146586.

Almost surely, 2^5519767680 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 5519767680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11966432940).

5519767680 is an abundant number, since it is smaller than the sum of its proper divisors (18413098200).

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

5519767680 is a wasteful number, since it uses less digits than its factorization.

5519767680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 3175200, while the sum is 54.

The square root of 5519767680 is about 74295.1390065326. The cubic root of 5519767680 is about 1767.2863905499.

The spelling of 5519767680 in words is "five billion, five hundred nineteen million, seven hundred sixty-seven thousand, six hundred eighty".