65605381968 has 160 divisors (see below), whose sum is σ = 197598908416. Its totient is φ = 18370105344.

The previous prime is 65605381957. The next prime is 65605381969. The reversal of 65605381968 is 86918350656.

65605381968 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×65605381968² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (65605381969) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3347205 + ... + 3366747.

Almost surely, 2^65605381968 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 65605381968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98799454208).

65605381968 is an abundant number, since it is smaller than the sum of its proper divisors (131993526448).

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

65605381968 is a wasteful number, since it uses less digits than its factorization.

65605381968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19761 (or 19755 counting only the distinct ones).

The product of its (nonzero) digits is 9331200, while the sum is 57.

The spelling of 65605381968 in words is "sixty-five billion, six hundred five million, three hundred eighty-one thousand, nine hundred sixty-eight".