66092304384 has 288 divisors, whose sum is σ = 205878909600. Its totient is φ = 20357775360.

The previous prime is 66092304379. The next prime is 66092304457. The reversal of 66092304384 is 48340329066.

66092304384 is a `hidden beast` number, since 6 + 609 + 2 + 3 + 0 + 4 + 38 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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 23 ways as a sum of consecutive naturals, for example, 14356227 + ... + 14360829.

It is an arithmetic number, because the mean of its divisors is an integer number (714857325).

Almost surely, 2^66092304384 is an apocalyptic number.

66092304384 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 66092304384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102939454800).

66092304384 is an abundant number, since it is smaller than the sum of its proper divisors (139786605216).

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

66092304384 is a wasteful number, since it uses less digits than its factorization.

66092304384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4691 (or 4668 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 45.

The spelling of 66092304384 in words is "sixty-six billion, ninety-two million, three hundred four thousand, three hundred eighty-four".