65608253568 has 384 divisors, whose sum is σ = 222545232000. Its totient is φ = 18290442240.

The previous prime is 65608253567. The next prime is 65608253593. The reversal of 65608253568 is 86535280656.

65608253568 is a `hidden beast` number, since 6 + 5 + 608 + 25 + 3 + 5 + 6 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is not an unprimeable number, because it can be changed into a prime (65608253567) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 73966021 + ... + 73966907.

It is an arithmetic number, because the mean of its divisors is an integer number (579544875).

Almost surely, 2^65608253568 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 65608253568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111272616000).

65608253568 is an abundant number, since it is smaller than the sum of its proper divisors (156936978432).

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

65608253568 is a wasteful number, since it uses less digits than its factorization.

65608253568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1380 (or 1365 counting only the distinct ones).

The product of its (nonzero) digits is 10368000, while the sum is 54.

The spelling of 65608253568 in words is "sixty-five billion, six hundred eight million, two hundred fifty-three thousand, five hundred sixty-eight".