65253680704 has 63 divisors (see below), whose sum is σ = 133236415137. Its totient is φ = 31708249344.

The previous prime is 65253680683. The next prime is 65253680707. The reversal of 65253680704 is 40708635256.

The square root of 65253680704 is 255448.

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., 58389889600 + 6863791104 = 241640^2 + 82848^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (65253680707) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 75612177 + ... + 75613039.

Almost surely, 2^65253680704 is an apocalyptic number.

65253680704 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

65253680704 is the 255448-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 65253680704

65253680704 is an abundant number, since it is smaller than the sum of its proper divisors (67982734433).

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

65253680704 is an frugal number, since it uses more digits than its factorization.

65253680704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1812 (or 902 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 46.

The spelling of 65253680704 in words is "sixty-five billion, two hundred fifty-three million, six hundred eighty thousand, seven hundred four".