5609776757760 has 1056 divisors, whose sum is σ = 22996226477952. Its totient is φ = 1237781053440.

The previous prime is 5609776757759. The next prime is 5609776757791. The reversal of 5609776757760 is 677576779065.

5609776757760 is a `hidden beast` number, since 5 + 609 + 7 + 7 + 6 + 7 + 5 + 7 + 7 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1282818934 + ... + 1282823306.

Almost surely, 2^{5609776757760} 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 5609776757760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11498113238976).

5609776757760 is an abundant number, since it is smaller than the sum of its proper divisors (17386449720192).

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

5609776757760 is a wasteful number, since it uses less digits than its factorization.

5609776757760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4549 (or 4528 counting only the distinct ones).

The product of its (nonzero) digits is 816820200, while the sum is 72.

The spelling of 5609776757760 in words is "five trillion, six hundred nine billion, seven hundred seventy-six million, seven hundred fifty-seven thousand, seven hundred sixty".