65744271360 has 576 divisors, whose sum is σ = 249753067200. Its totient is φ = 15920529408.

The previous prime is 65744271337. The next prime is 65744271413. The reversal of 65744271360 is 6317244756.

65744271360 is a `hidden beast` number, since 6 + 574 + 4 + 2 + 7 + 13 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 45434157 + ... + 45435603.

It is an arithmetic number, because the mean of its divisors is an integer number (433599075).

Almost surely, 2^65744271360 is an apocalyptic number.

65744271360 is a gapful number since it is divisible by the number (60) 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 65744271360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124876533600).

65744271360 is an abundant number, since it is smaller than the sum of its proper divisors (184008795840).

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

65744271360 is a wasteful number, since it uses less digits than its factorization.

65744271360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1526 (or 1503 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 45.

The spelling of 65744271360 in words is "sixty-five billion, seven hundred forty-four million, two hundred seventy-one thousand, three hundred sixty".