66398350199040 has 576 divisors, whose sum is σ = 239840919924480. Its totient is φ = 17391653683200.

The previous prime is 66398350199033. The next prime is 66398350199081. The reversal of 66398350199040 is 4099105389366.

66398350199040 is a `hidden beast` number, since 6 + 6 + 3 + 9 + 83 + 501 + 9 + 9 + 0 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 496180140 + ... + 496313940.

It is an arithmetic number, because the mean of its divisors is an integer number (416390485980).

Almost surely, 2^{66398350199040} is an apocalyptic number.

66398350199040 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 66398350199040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119920459962240).

66398350199040 is an abundant number, since it is smaller than the sum of its proper divisors (173442569725440).

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

66398350199040 is a wasteful number, since it uses less digits than its factorization.

66398350199040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134087 (or 134067 counting only the distinct ones).

The product of its (nonzero) digits is 37791360, while the sum is 63.

The spelling of 66398350199040 in words is "sixty-six trillion, three hundred ninety-eight billion, three hundred fifty million, one hundred ninety-nine thousand, forty".