65728082756 has 18 divisors (see below), whose sum is σ = 133803597438. Its totient is φ = 28169178240.

The previous prime is 65728082743. The next prime is 65728082789.

It is a happy number.

65728082756 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in only one way, i.e., 58193842756 + 7534240000 = 241234^2 + 86800^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 167673485 + ... + 167673876.

It is an arithmetic number, because the mean of its divisors is an integer number (7433533191).

Almost surely, 2^65728082756 is an apocalyptic number.

It is an amenable number.

65728082756 is an abundant number, since it is smaller than the sum of its proper divisors (68075514682).

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

65728082756 is a wasteful number, since it uses less digits than its factorization.

65728082756 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 335347379 (or 335347370 counting only the distinct ones).

The product of its (nonzero) digits is 11289600, while the sum is 56.

The spelling of 65728082756 in words is "sixty-five billion, seven hundred twenty-eight million, eighty-two thousand, seven hundred fifty-six".