65754982656 has 288 divisors, whose sum is σ = 213272922240. Its totient is φ = 19818086400.

The previous prime is 65754982627. The next prime is 65754982673. The reversal of 65754982656 is 65628945756.

It is a happy number.

65754982656 is a `hidden beast` number, since 6 + 5 + 7 + 549 + 82 + 6 + 5 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a junction number, because it is equal to n+sod(n) for n = 65754982593 and 65754982602.

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 31 ways as a sum of consecutive naturals, for example, 14671936 + ... + 14676416.

It is an arithmetic number, because the mean of its divisors is an integer number (740530980).

Almost surely, 2^65754982656 is an apocalyptic number.

65754982656 is a gapful number since it is divisible by the number (66) 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 65754982656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106636461120).

65754982656 is an abundant number, since it is smaller than the sum of its proper divisors (147517939584).

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

65754982656 is a wasteful number, since it uses less digits than its factorization.

65754982656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4710 (or 4690 counting only the distinct ones).

The product of its digits is 108864000, while the sum is 63.

The spelling of 65754982656 in words is "sixty-five billion, seven hundred fifty-four million, nine hundred eighty-two thousand, six hundred fifty-six".