5517663480 has 576 divisors, whose sum is σ = 22670331840. Its totient is φ = 1135337472.

The previous prime is 5517663457. The next prime is 5517663509. The reversal of 5517663480 is 843667155.

5517663480 is a `hidden beast` number, since 5 + 5 + 1 + 7 + 6 + 634 + 8 + 0 = 666.

It is a super-2 number, since 2×5517663480² = 60889220557051420800, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 93519691 + ... + 93519749.

It is an arithmetic number, because the mean of its divisors is an integer number (39358215).

Almost surely, 2^5517663480 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 5517663480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11335165920).

5517663480 is an abundant number, since it is smaller than the sum of its proper divisors (17152668360).

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

5517663480 is a wasteful number, since it uses less digits than its factorization.

5517663480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 196 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The square root of 5517663480 is about 74280.9765687016. The cubic root of 5517663480 is about 1767.0617919267.

The spelling of 5517663480 in words is "five billion, five hundred seventeen million, six hundred sixty-three thousand, four hundred eighty".