65398564224 has 768 divisors, whose sum is σ = 239316480000. Its totient is φ = 17069875200.

The previous prime is 65398564207. The next prime is 65398564229. The reversal of 65398564224 is 42246589356.

65398564224 is a `hidden beast` number, since 6 + 53 + 9 + 8 + 564 + 2 + 24 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (65398564229) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 232734964 + ... + 232735244.

It is an arithmetic number, because the mean of its divisors is an integer number (311610000).

Almost surely, 2^65398564224 is an apocalyptic number.

65398564224 is a gapful number since it is divisible by the number (64) 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 65398564224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119658240000).

65398564224 is an abundant number, since it is smaller than the sum of its proper divisors (173917915776).

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

65398564224 is a wasteful number, since it uses less digits than its factorization.

65398564224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 372 (or 343 counting only the distinct ones).

The product of its digits is 12441600, while the sum is 54.

The spelling of 65398564224 in words is "sixty-five billion, three hundred ninety-eight million, five hundred sixty-four thousand, two hundred twenty-four".