65335584768 has 192 divisors, whose sum is σ = 179144784000. Its totient is φ = 21162885120.

The previous prime is 65335584767. The next prime is 65335584817. The reversal of 65335584768 is 86748553356.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×65335584768² (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (65335584763) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 109074133 + ... + 109074731.

It is an arithmetic number, because the mean of its divisors is an integer number (933045750).

Almost surely, 2^65335584768 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 65335584768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89572392000).

65335584768 is an abundant number, since it is smaller than the sum of its proper divisors (113809199232).

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

65335584768 is a wasteful number, since it uses less digits than its factorization.

65335584768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1098 (or 1078 counting only the distinct ones).

The product of its digits is 72576000, while the sum is 60.

The spelling of 65335584768 in words is "sixty-five billion, three hundred thirty-five million, five hundred eighty-four thousand, seven hundred sixty-eight".