65418312960 has 2304 divisors, whose sum is σ = 327019069440. Its totient is φ = 11943936000.

The previous prime is 65418312889. The next prime is 65418312961. The reversal of 65418312960 is 6921381456.

65418312960 is a `hidden beast` number, since 6 + 541 + 8 + 3 + 12 + 96 + 0 = 666.

65418312960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (2304).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (65418312961) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 1072431330 + ... + 1072431390.

It is an arithmetic number, because the mean of its divisors is an integer number (141935360).

Almost surely, 2^65418312960 is an apocalyptic number.

65418312960 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 65418312960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163509534720).

65418312960 is an abundant number, since it is smaller than the sum of its proper divisors (261600756480).

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

65418312960 is a wasteful number, since it uses less digits than its factorization.

65418312960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153 (or 133 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 65418312960 in words is "sixty-five billion, four hundred eighteen million, three hundred twelve thousand, nine hundred sixty".