65409726666384 has 135 divisors (see below), whose sum is σ = 191367934188067. Its totient is φ = 20854563457728.

The previous prime is 65409726666337. The next prime is 65409726666439. The reversal of 65409726666384 is 48366662790456.

The square root of 65409726666384 is 8087628.

It is a perfect power (a square), and thus also a powerful number.

It is a super-3 number, since 3×65409726666384³ (a number of 42 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 2232170677 + ... + 2232199979.

Almost surely, 2^{65409726666384} is an apocalyptic number.

65409726666384 is the 8087628-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 65409726666384

65409726666384 is an abundant number, since it is smaller than the sum of its proper divisors (125958207521683).

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

65409726666384 is an frugal number, since it uses more digits than its factorization.

65409726666384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58666 (or 29331 counting only the distinct ones).

The product of its (nonzero) digits is 1881169920, while the sum is 72.

The spelling of 65409726666384 in words is "sixty-five trillion, four hundred nine billion, seven hundred twenty-six million, six hundred sixty-six thousand, three hundred eighty-four".