65740085424 has 240 divisors, whose sum is σ = 212103091200. Its totient is φ = 18837702144.

The previous prime is 65740085407. The next prime is 65740085447. The reversal of 65740085424 is 42458004756.

65740085424 is a `hidden beast` number, since 6 + 574 + 0 + 0 + 8 + 54 + 24 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 65740085424.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2082849 + ... + 2114175.

It is an arithmetic number, because the mean of its divisors is an integer number (883762880).

Almost surely, 2^65740085424 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 65740085424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106051545600).

65740085424 is an abundant number, since it is smaller than the sum of its proper divisors (146363005776).

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

65740085424 is a wasteful number, since it uses less digits than its factorization.

65740085424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31432 (or 31423 counting only the distinct ones).

The product of its (nonzero) digits is 1075200, while the sum is 45.

The spelling of 65740085424 in words is "sixty-five billion, seven hundred forty million, eighty-five thousand, four hundred twenty-four".