65668882800 has 240 divisors, whose sum is σ = 212137136640. Its totient is φ = 17364480000.

The previous prime is 65668882789. The next prime is 65668882819. The reversal of 65668882800 is 828886656.

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 115006515 + ... + 115007085.

It is an arithmetic number, because the mean of its divisors is an integer number (883904736).

Almost surely, 2^65668882800 is an apocalyptic number.

65668882800 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 65668882800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106068568320).

65668882800 is an abundant number, since it is smaller than the sum of its proper divisors (146468253840).

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

65668882800 is a wasteful number, since it uses less digits than its factorization.

65668882800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1232 (or 1221 counting only the distinct ones).

The product of its (nonzero) digits is 8847360, while the sum is 57.

The spelling of 65668882800 in words is "sixty-five billion, six hundred sixty-eight million, eight hundred eighty-two thousand, eight hundred".