5709749760 has 480 divisors, whose sum is σ = 23244949728. Its totient is φ = 1276968960.

The previous prime is 5709749707. The next prime is 5709749777. The reversal of 5709749760 is 679479075.

It is a happy number.

5709749760 is a `hidden beast` number, since 5 + 7 + 0 + 97 + 497 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a junction number, because it is equal to n+sod(n) for n = 5709749697 and 5709749706.

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, 3293854 + ... + 3295586.

Almost surely, 2^5709749760 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 5709749760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11622474864).

5709749760 is an abundant number, since it is smaller than the sum of its proper divisors (17535199968).

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

5709749760 is a wasteful number, since it uses less digits than its factorization.

5709749760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1786 (or 1767 counting only the distinct ones).

The product of its (nonzero) digits is 3333960, while the sum is 54.

The square root of 5709749760 is about 75562.8861280457. The cubic root of 5709749760 is about 1787.3338959871. Note that the first 3 decimals are identical.

The spelling of 5709749760 in words is "five billion, seven hundred nine million, seven hundred forty-nine thousand, seven hundred sixty".