65729664 has 512 divisors, whose sum is σ = 274176000. Its totient is φ = 14929920.

The previous prime is 65729663. The next prime is 65729681. The reversal of 65729664 is 46692756.

65729664 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (65729663) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3459447 + ... + 3459465.

It is an arithmetic number, because the mean of its divisors is an integer number (535500).

Almost surely, 2^65729664 is an apocalyptic number.

65729664 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 65729664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137088000).

65729664 is an abundant number, since it is smaller than the sum of its proper divisors (208446336).

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

65729664 is a wasteful number, since it uses less digits than its factorization.

65729664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73 (or 55 counting only the distinct ones).

The product of its digits is 544320, while the sum is 45.

The square root of 65729664 is about 8107.3833016578. The cubic root of 65729664 is about 403.5714830307.

The spelling of 65729664 in words is "sixty-five million, seven hundred twenty-nine thousand, six hundred sixty-four".