5661607680 has 216 divisors, whose sum is σ = 19839718080. Its totient is φ = 1490411520.

The previous prime is 5661607673. The next prime is 5661607687. The reversal of 5661607680 is 867061665.

5661607680 is a `hidden beast` number, since 566 + 1 + 6 + 0 + 7 + 6 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (5661607673) and next prime (5661607687).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5661607687) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 906970 + ... + 913190.

Almost surely, 2^5661607680 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 5661607680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9919859040).

5661607680 is an abundant number, since it is smaller than the sum of its proper divisors (14178110400).

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

5661607680 is a wasteful number, since it uses less digits than its factorization.

5661607680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6327 (or 6310 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 5661607680 is about 75243.6554135962. The cubic root of 5661607680 is about 1782.2963754842.

The spelling of 5661607680 in words is "five billion, six hundred sixty-one million, six hundred seven thousand, six hundred eighty".