5675819760 has 360 divisors, whose sum is σ = 21244702752. Its totient is φ = 1349913600.

The previous prime is 5675819759. The next prime is 5675819761. The reversal of 5675819760 is 679185765.

5675819760 is a `hidden beast` number, since 56 + 7 + 581 + 9 + 7 + 6 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (5675819759) and next prime (5675819761).

It is a tau number, because it is divible by the number of its divisors (360).

It is a junction number, because it is equal to n+sod(n) for n = 5675819697 and 5675819706.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5675819761) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 8994645 + ... + 8995275.

Almost surely, 2^5675819760 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 5675819760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10622351376).

5675819760 is an abundant number, since it is smaller than the sum of its proper divisors (15568882992).

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

5675819760 is a wasteful number, since it uses less digits than its factorization.

5675819760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 725 (or 685 counting only the distinct ones).

The product of its (nonzero) digits is 3175200, while the sum is 54.

The square root of 5675819760 is about 75338.0366083428. The cubic root of 5675819760 is about 1783.7864689097.

The spelling of 5675819760 in words is "five billion, six hundred seventy-five million, eight hundred nineteen thousand, seven hundred sixty".