65072495093760 has 3840 divisors, whose sum is σ = 313443318988800. Its totient is φ = 12507689779200.

The previous prime is 65072495093707. The next prime is 65072495093761. The reversal of 65072495093760 is 6739059427056.

65072495093760 is a `hidden beast` number, since 6 + 5 + 0 + 72 + 495 + 0 + 9 + 3 + 76 + 0 = 666.

65072495093760 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 (3840).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (65072495093761) by changing a digit.

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 319 ways as a sum of consecutive naturals, for example, 45537084726 + ... + 45537086154.

It is an arithmetic number, because the mean of its divisors is an integer number (81625864320).

Almost surely, 2^{65072495093760} is an apocalyptic number.

65072495093760 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 65072495093760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156721659494400).

65072495093760 is an abundant number, since it is smaller than the sum of its proper divisors (248370823895040).

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

65072495093760 is a wasteful number, since it uses less digits than its factorization.

65072495093760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1540 (or 1511 counting only the distinct ones).

The product of its (nonzero) digits is 85730400, while the sum is 63.

The spelling of 65072495093760 in words is "sixty-five trillion, seventy-two billion, four hundred ninety-five million, ninety-three thousand, seven hundred sixty".