66565414300 has 144 divisors (see below), whose sum is σ = 183043284480. Its totient is φ = 20407392000.

The previous prime is 66565414297. The next prime is 66565414301. The reversal of 66565414300 is 341456566.

It is a super-3 number, since 3×66565414300³ (a number of 33 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66565414301) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 398841 + ... + 540559.

It is an arithmetic number, because the mean of its divisors is an integer number (1271133920).

Almost surely, 2^66565414300 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 66565414300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91521642240).

66565414300 is an abundant number, since it is smaller than the sum of its proper divisors (116477870180).

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

66565414300 is a wasteful number, since it uses less digits than its factorization.

66565414300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141812 (or 141805 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 40.

The spelling of 66565414300 in words is "sixty-six billion, five hundred sixty-five million, four hundred fourteen thousand, three hundred".