65729000663040 has 768 divisors, whose sum is σ = 247255069501440. Its totient is φ = 14696019394560.

The previous prime is 65729000663003. The next prime is 65729000663057. The reversal of 65729000663040 is 4036600092756.

65729000663040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (768).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5724021139 + ... + 5724032621.

It is an arithmetic number, because the mean of its divisors is an integer number (321946705080).

Almost surely, 2^{65729000663040} is an apocalyptic number.

65729000663040 is a gapful number since it is divisible by the number (60) 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 65729000663040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123627534750720).

65729000663040 is an abundant number, since it is smaller than the sum of its proper divisors (181526068838400).

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

65729000663040 is a wasteful number, since it uses less digits than its factorization.

65729000663040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12840 (or 12820 counting only the distinct ones).

The product of its (nonzero) digits is 1632960, while the sum is 48.

The spelling of 65729000663040 in words is "sixty-five trillion, seven hundred twenty-nine billion, six hundred sixty-three thousand, forty".