66852589440 has 768 divisors, whose sum is σ = 272865438720. Its totient is φ = 13793181696.

The previous prime is 66852589423. The next prime is 66852589493. The reversal of 66852589440 is 4498525866.

It is a happy number.

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 95 ways as a sum of consecutive naturals, for example, 57482299 + ... + 57483461.

It is an arithmetic number, because the mean of its divisors is an integer number (355293540).

Almost surely, 2^66852589440 is an apocalyptic number.

66852589440 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 66852589440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136432719360).

66852589440 is an abundant number, since it is smaller than the sum of its proper divisors (206012849280).

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

66852589440 is a wasteful number, since it uses less digits than its factorization.

66852589440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1259 (or 1240 counting only the distinct ones).

The product of its (nonzero) digits is 16588800, while the sum is 57.

The spelling of 66852589440 in words is "sixty-six billion, eight hundred fifty-two million, five hundred eighty-nine thousand, four hundred forty".