5617615680 has 448 divisors, whose sum is σ = 20994624000. Its totient is φ = 1428793344.

The previous prime is 5617615631. The next prime is 5617615709. The reversal of 5617615680 is 865167165.

5617615680 is a `hidden beast` number, since 561 + 7 + 6 + 1 + 5 + 6 + 80 = 666.

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 63 ways as a sum of consecutive naturals, for example, 16096146 + ... + 16096494.

It is an arithmetic number, because the mean of its divisors is an integer number (46863000).

Almost surely, 2^5617615680 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 5617615680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10497312000).

5617615680 is an abundant number, since it is smaller than the sum of its proper divisors (15377008320).

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

5617615680 is an equidigital number, since it uses as much as digits as its factorization.

5617615680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 410 (or 382 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 45.

The square root of 5617615680 is about 74950.7550328881. The cubic root of 5617615680 is about 1777.6680821667.

The spelling of 5617615680 in words is "five billion, six hundred seventeen million, six hundred fifteen thousand, six hundred eighty".