65576505020664 has 256 divisors, whose sum is σ = 188734396032000. Its totient is φ = 18804262256640.

The previous prime is 65576505020641. The next prime is 65576505020671. The reversal of 65576505020664 is 46602050567556.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 76062442 + ... + 76919750.

It is an arithmetic number, because the mean of its divisors is an integer number (737243734500).

Almost surely, 2^{65576505020664} 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 65576505020664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94367198016000).

65576505020664 is an abundant number, since it is smaller than the sum of its proper divisors (123157891011336).

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

65576505020664 is a wasteful number, since it uses less digits than its factorization.

65576505020664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 857558 (or 857554 counting only the distinct ones).

The product of its (nonzero) digits is 45360000, while the sum is 57.

The spelling of 65576505020664 in words is "sixty-five trillion, five hundred seventy-six billion, five hundred five million, twenty thousand, six hundred sixty-four".