66740413842300 has 288 divisors, whose sum is σ = 213398276636160. Its totient is φ = 15970081305600.

The previous prime is 66740413842269. The next prime is 66740413842331. The reversal of 66740413842300 is 324831404766.

It is an interprime number because it is at equal distance from previous prime (66740413842269) and next prime (66740413842331).

It is a self number, because there is not a number n which added to its sum of digits gives 66740413842300.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 94248354 + ... + 94953846.

It is an arithmetic number, because the mean of its divisors is an integer number (740966238320).

Almost surely, 2^{66740413842300} is an apocalyptic number.

66740413842300 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 66740413842300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106699138318080).

66740413842300 is an abundant number, since it is smaller than the sum of its proper divisors (146657862793860).

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

66740413842300 is a wasteful number, since it uses less digits than its factorization.

66740413842300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 705893 (or 705886 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 48.

The spelling of 66740413842300 in words is "sixty-six trillion, seven hundred forty billion, four hundred thirteen million, eight hundred forty-two thousand, three hundred".