65687977555344 has 405 divisors, whose sum is σ = 191266019425377. Its totient is φ = 21045019677696.

The previous prime is 65687977555339. The next prime is 65687977555411. The reversal of 65687977555344 is 44355577978656.

The square root of 65687977555344 is 8104812.

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

65687977555344 is a `hidden beast` number, since 6 + 5 + 6 + 8 + 7 + 9 + 7 + 75 + 5 + 534 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1157474739600 + 64530502815744 = 1075860^2 + 8033088^2 .

It is a super-2 number, since 2×65687977555344² (a number of 28 digits) contains 22 as substring.

Its product of digits (26671680000) is a multiple of the sum of its prime divisors (300).

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 472575378027 + ... + 472575378165.

Almost surely, 2^{65687977555344} is an apocalyptic number.

65687977555344 is the 8104812-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 65687977555344

65687977555344 is an abundant number, since it is smaller than the sum of its proper divisors (125578041870033).

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

65687977555344 is a wasteful number, since it uses less digits than its factorization.

65687977555344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 604 (or 300 counting only the distinct ones).

The product of its digits is 26671680000, while the sum is 81.

It can be divided in two parts, 65687977 and 555344, that added together give a square (66243321 = 8139²).

The spelling of 65687977555344 in words is "sixty-five trillion, six hundred eighty-seven billion, nine hundred seventy-seven million, five hundred fifty-five thousand, three hundred forty-four".