65753267776 has 189 divisors, whose sum is σ = 160858275057. Its totient is φ = 26586040320.

The previous prime is 65753267737. The next prime is 65753267779. The reversal of 65753267776 is 67776235756.

It is a happy number.

The square root of 65753267776 is 256424.

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., 49451085376 + 16302182400 = 222376^2 + 127680^2 .

It is not an unprimeable number, because it can be changed into a prime (65753267779) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 272835016 + ... + 272835256.

Almost surely, 2^65753267776 is an apocalyptic number.

65753267776 is the 256424-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 65753267776

65753267776 is an abundant number, since it is smaller than the sum of its proper divisors (95105007281).

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

65753267776 is an equidigital number, since it uses as much as digits as its factorization.

65753267776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 546 (or 269 counting only the distinct ones).

The product of its digits is 77792400, while the sum is 61.

The spelling of 65753267776 in words is "sixty-five billion, seven hundred fifty-three million, two hundred sixty-seven thousand, seven hundred seventy-six".