5735638756 has 27 divisors (see below), whose sum is σ = 10598772681. Its totient is φ = 2715518304.

The previous prime is 5735638717. The next prime is 5735638793. The reversal of 5735638756 is 6578365375.

The square root of 5735638756 is 75734.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 4197744100 + 1537894656 = 64790^2 + 39216^2 .

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 5735638697 and 5735638706.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 2876896 + ... + 2878888.

Almost surely, 2^5735638756 is an apocalyptic number.

5735638756 is the 75734-th square number.

It is an amenable number.

5735638756 is a deficient number, since it is larger than the sum of its proper divisors (4863133925).

5735638756 is an equidigital number, since it uses as much as digits as its factorization.

5735638756 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4028 (or 2014 counting only the distinct ones).

The product of its digits is 15876000, while the sum is 55.

The cubic root of 5735638756 is about 1790.0311840848.

The spelling of 5735638756 in words is "five billion, seven hundred thirty-five million, six hundred thirty-eight thousand, seven hundred fifty-six".