5675765760 has 624 divisors, whose sum is σ = 23184330624. Its totient is φ = 1257504768.

The previous prime is 5675765759. The next prime is 5675765783. The reversal of 5675765760 is 675675765.

5675765760 is a `hidden beast` number, since 5 + 6 + 7 + 576 + 5 + 7 + 60 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 5675765697 and 5675765706.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 68382679 + ... + 68382761.

It is an arithmetic number, because the mean of its divisors is an integer number (37154376).

Almost surely, 2^5675765760 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 5675765760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11592165312).

5675765760 is an abundant number, since it is smaller than the sum of its proper divisors (17508564864).

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

5675765760 is a wasteful number, since it uses less digits than its factorization.

5675765760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 178 (or 153 counting only the distinct ones).

The product of its (nonzero) digits is 9261000, while the sum is 54.

The square root of 5675765760 is about 75337.6782227857. The cubic root of 5675765760 is about 1783.7808118840.

The spelling of 5675765760 in words is "five billion, six hundred seventy-five million, seven hundred sixty-five thousand, seven hundred sixty".