66003005362440 has 256 divisors, whose sum is σ = 209342770053120. Its totient is φ = 16621567441920.

The previous prime is 66003005362439. The next prime is 66003005362453. The reversal of 66003005362440 is 4426350030066.

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 63 ways as a sum of consecutive naturals, for example, 173686722 + ... + 174066318.

It is an arithmetic number, because the mean of its divisors is an integer number (817745195520).

Almost surely, 2^{66003005362440} is an apocalyptic number.

66003005362440 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 66003005362440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104671385026560).

66003005362440 is an abundant number, since it is smaller than the sum of its proper divisors (143339764690680).

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

66003005362440 is a wasteful number, since it uses less digits than its factorization.

66003005362440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 380772 (or 380768 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 39.

The spelling of 66003005362440 in words is "sixty-six trillion, three billion, five million, three hundred sixty-two thousand, four hundred forty".