65728000000 has 364 divisors, whose sum is σ = 179175831520. Its totient is φ = 23961600000.

The previous prime is 65727999937. The next prime is 65728000001. The reversal of 65728000000 is 82756.

It is a taxicab number since it can be written as a sum of two cubes in more than one way. Here 65728000000 = 1200³ + 4000³ = 3100³ + 3300³.

It is not an unprimeable number, because it can be changed into a prime (65728000001) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 831999961 + ... + 832000039.

Almost surely, 2^65728000000 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 65728000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89587915760).

65728000000 is an abundant number, since it is smaller than the sum of its proper divisors (113447831520).

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

65728000000 is an frugal number, since it uses more digits than its factorization.

65728000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 28.

Adding to 65728000000 its reverse (82756), we get a palindrome (65728082756).

The spelling of 65728000000 in words is "sixty-five billion, seven hundred twenty-eight million", and thus it is an aban number.