65742036099168 has 1536 divisors, whose sum is σ = 224050159226880. Its totient is φ = 16588941557760.

The previous prime is 65742036099163. The next prime is 65742036099253. The reversal of 65742036099168 is 86199063024756.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a junction number, because it is equal to n+sod(n) for n = 65742036099099 and 65742036099108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (65742036099163) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 55106483980 + ... + 55106485172.

It is an arithmetic number, because the mean of its divisors is an integer number (145865989080).

It is a 1-persistent number, because it is pandigital, but 2⋅65742036099168 = 131484072198336 is not.

Almost surely, 2^{65742036099168} 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 65742036099168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112025079613440).

65742036099168 is an abundant number, since it is smaller than the sum of its proper divisors (158308123127712).

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

65742036099168 is a wasteful number, since it uses less digits than its factorization.

65742036099168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1432 (or 1424 counting only the distinct ones).

The product of its (nonzero) digits is 117573120, while the sum is 66.

The spelling of 65742036099168 in words is "sixty-five trillion, seven hundred forty-two billion, thirty-six million, ninety-nine thousand, one hundred sixty-eight".