65744434080 has 480 divisors, whose sum is σ = 251458376400. Its totient is φ = 16176236544.

The previous prime is 65744434073. The next prime is 65744434099. The reversal of 65744434080 is 8043444756.

65744434080 is a `hidden beast` number, since 6 + 574 + 44 + 34 + 0 + 8 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 431475984 + 65312958096 = 20772^2 + 255564^2 .

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×65744434080² (a number of 22 digits) contains 22 as substring.

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 (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 28471966 + ... + 28474274.

Almost surely, 2^65744434080 is an apocalyptic number.

65744434080 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 65744434080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125729188200).

65744434080 is an abundant number, since it is smaller than the sum of its proper divisors (185713942320).

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

65744434080 is a wasteful number, since it uses less digits than its factorization.

65744434080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2375 (or 2332 counting only the distinct ones).

The product of its (nonzero) digits is 1290240, while the sum is 45.

The spelling of 65744434080 in words is "sixty-five billion, seven hundred forty-four million, four hundred thirty-four thousand, eighty".