65684130760512 has 252 divisors, whose sum is σ = 207111655278528. Its totient is φ = 19888086873600.

The previous prime is 65684130760483. The next prime is 65684130760519. The reversal of 65684130760512 is 21506703148656.

It is a happy number.

65684130760512 is a `hidden beast` number, since 6 + 5 + 6 + 8 + 4 + 13 + 0 + 7 + 605 + 12 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (65684130760519) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 85412983 + ... + 86178569.

Almost surely, 2^{65684130760512} 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 65684130760512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103555827639264).

65684130760512 is an abundant number, since it is smaller than the sum of its proper divisors (141427524518016).

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

65684130760512 is a wasteful number, since it uses less digits than its factorization.

65684130760512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 766858 (or 766834 counting only the distinct ones).

The product of its (nonzero) digits is 7257600, while the sum is 54.

The spelling of 65684130760512 in words is "sixty-five trillion, six hundred eighty-four billion, one hundred thirty million, seven hundred sixty thousand, five hundred twelve".