5616199680 has 768 divisors, whose sum is σ = 23115456000. Its totient is φ = 1156055040.

The previous prime is 5616199657. The next prime is 5616199709. The reversal of 5616199680 is 869916165.

It is a tau number, because it is divible by the number of its divisors (768).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 136980460 + ... + 136980500.

It is an arithmetic number, because the mean of its divisors is an integer number (30098250).

Almost surely, 2^5616199680 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 5616199680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11557728000).

5616199680 is an abundant number, since it is smaller than the sum of its proper divisors (17499256320).

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

5616199680 is a wasteful number, since it uses less digits than its factorization.

5616199680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 699840, while the sum is 51.

The square root of 5616199680 is about 74941.3082351783. The cubic root of 5616199680 is about 1777.5187074335.

The spelling of 5616199680 in words is "five billion, six hundred sixteen million, one hundred ninety-nine thousand, six hundred eighty".