65342210693760 has 1536 divisors, whose sum is σ = 306076067781120. Its totient is φ = 12403857162240.

The previous prime is 65342210693759. The next prime is 65342210693791. The reversal of 65342210693760 is 6739601224356.

65342210693760 is a `hidden beast` number, since 6 + 53 + 4 + 2 + 210 + 6 + 9 + 376 + 0 = 666.

65342210693760 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 65342210693697 and 65342210693706.

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 191 ways as a sum of consecutive naturals, for example, 559220304 + ... + 559337136.

It is an arithmetic number, because the mean of its divisors is an integer number (199268273295).

Almost surely, 2^{65342210693760} is an apocalyptic number.

65342210693760 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 65342210693760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153038033890560).

65342210693760 is an abundant number, since it is smaller than the sum of its proper divisors (240733857087360).

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

65342210693760 is a wasteful number, since it uses less digits than its factorization.

65342210693760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116986 (or 116971 counting only the distinct ones).

The product of its (nonzero) digits is 9797760, while the sum is 54.

The spelling of 65342210693760 in words is "sixty-five trillion, three hundred forty-two billion, two hundred ten million, six hundred ninety-three thousand, seven hundred sixty".