65681190749664 has 288 divisors, whose sum is σ = 222855671001600. Its totient is φ = 18640105523712.

The previous prime is 65681190749663. The next prime is 65681190749711. The reversal of 65681190749664 is 46694709118656.

It is a happy number.

65681190749664 is a `hidden beast` number, since 6 + 5 + 68 + 1 + 19 + 0 + 7 + 496 + 64 = 666.

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

It is a super-2 number, since 2×65681190749664² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 65681190749592 and 65681190749601.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (65681190749663) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4061157 + ... + 12159579.

It is an arithmetic number, because the mean of its divisors is an integer number (773804413200).

Almost surely, 2^{65681190749664} 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 65681190749664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111427835500800).

65681190749664 is an abundant number, since it is smaller than the sum of its proper divisors (157174480251936).

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

65681190749664 is a wasteful number, since it uses less digits than its factorization.

65681190749664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8098604 (or 8098584 counting only the distinct ones).

The product of its (nonzero) digits is 470292480, while the sum is 72.

The spelling of 65681190749664 in words is "sixty-five trillion, six hundred eighty-one billion, one hundred ninety million, seven hundred forty-nine thousand, six hundred sixty-four".