66840019584000 has 2816 divisors, whose sum is σ = 262041488916480. Its totient is φ = 14987427840000.

The previous prime is 66840019583957. The next prime is 66840019584007. The reversal of 66840019584000 is 48591004866.

It is not an unprimeable number, because it can be changed into a prime (66840019584007) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 316777343895 + ... + 316777344105.

Almost surely, 2^{66840019584000} is an apocalyptic number.

66840019584000 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 66840019584000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131020744458240).

66840019584000 is an abundant number, since it is smaller than the sum of its proper divisors (195201469332480).

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

66840019584000 is a wasteful number, since it uses less digits than its factorization.

66840019584000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 405 (or 377 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 51.

The spelling of 66840019584000 in words is "sixty-six trillion, eight hundred forty billion, nineteen million, five hundred eighty-four thousand".