65668845600 has 432 divisors, whose sum is σ = 242730214272. Its totient is φ = 16674324480.

The previous prime is 65668845581. The next prime is 65668845611. The reversal of 65668845600 is 654886656.

It is a happy number.

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 42558429 + ... + 42559971.

It is an arithmetic number, because the mean of its divisors is an integer number (561875496).

Almost surely, 2^65668845600 is an apocalyptic number.

65668845600 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 65668845600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121365107136).

65668845600 is an abundant number, since it is smaller than the sum of its proper divisors (177061368672).

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

65668845600 is a wasteful number, since it uses less digits than its factorization.

65668845600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1849 (or 1833 counting only the distinct ones).

The product of its (nonzero) digits is 8294400, while the sum is 54.

The spelling of 65668845600 in words is "sixty-five billion, six hundred sixty-eight million, eight hundred forty-five thousand, six hundred".