65742243840 has 1440 divisors, whose sum is σ = 295965109440. Its totient is φ = 13663862784.

The previous prime is 65742243839. The next prime is 65742243863. The reversal of 65742243840 is 4834224756.

It is a happy number.

65742243840 is a `hidden beast` number, since 6 + 574 + 2 + 2 + 4 + 38 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a super-3 number, since 3×65742243840³ (a number of 33 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

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 119 ways as a sum of consecutive naturals, for example, 981227487 + ... + 981227553.

It is an arithmetic number, because the mean of its divisors is an integer number (205531326).

Almost surely, 2^65742243840 is an apocalyptic number.

65742243840 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 65742243840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147982554720).

65742243840 is an abundant number, since it is smaller than the sum of its proper divisors (230222865600).

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

65742243840 is a wasteful number, since it uses less digits than its factorization.

65742243840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 1290240, while the sum is 45.

The spelling of 65742243840 in words is "sixty-five billion, seven hundred forty-two million, two hundred forty-three thousand, eight hundred forty".