5519816640 has 336 divisors, whose sum is σ = 20552968800. Its totient is φ = 1351655424.

The previous prime is 5519816623. The next prime is 5519816657. The reversal of 5519816640 is 466189155.

5519816640 is a `hidden beast` number, since 551 + 98 + 1 + 6 + 6 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (5519816623) and next prime (5519816657).

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14189566 + ... + 14189954.

It is an arithmetic number, because the mean of its divisors is an integer number (61169550).

Almost surely, 2^5519816640 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 5519816640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10276484400).

5519816640 is an abundant number, since it is smaller than the sum of its proper divisors (15033152160).

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

5519816640 is a wasteful number, since it uses less digits than its factorization.

5519816640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 804 (or 791 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 45.

The square root of 5519816640 is about 74295.4685024598. The cubic root of 5519816640 is about 1767.2916157750.

The spelling of 5519816640 in words is "five billion, five hundred nineteen million, eight hundred sixteen thousand, six hundred forty".