5676269760 has 1008 divisors, whose sum is σ = 25070104800. Its totient is φ = 1170505728.

The previous prime is 5676269749. The next prime is 5676269761. The reversal of 5676269760 is 679626765.

5676269760 is a `hidden beast` number, since 5 + 6 + 7 + 626 + 9 + 7 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a junction number, because it is equal to n+sod(n) for n = 5676269697 and 5676269706.

It is not an unprimeable number, because it can be changed into a prime (5676269761) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 77757084 + ... + 77757156.

Almost surely, 2^5676269760 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 5676269760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12535052400).

5676269760 is an abundant number, since it is smaller than the sum of its proper divisors (19393835040).

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

5676269760 is a wasteful number, since it uses less digits than its factorization.

5676269760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 5715360, while the sum is 54.

The square root of 5676269760 is about 75341.0230883547. The cubic root of 5676269760 is about 1783.8336093952.

The spelling of 5676269760 in words is "five billion, six hundred seventy-six million, two hundred sixty-nine thousand, seven hundred sixty".