19340000064000 has 1920 divisors, whose sum is σ = 90628416552960. Its totient is φ = 3843772416000.

The previous prime is 19340000063987. The next prime is 19340000064019. The reversal of 19340000064000 is 46000004391.

19340000064000 is a `hidden beast` number, since 19 + 3 + 4 + 0 + 0 + 0 + 0 + 0 + 640 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1020086521 + ... + 1020105479.

It is an arithmetic number, because the mean of its divisors is an integer number (47202300288).

Almost surely, 2^{19340000064000} is an apocalyptic number.

19340000064000 is a gapful number since it is divisible by the number (10) 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 19340000064000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45314208276480).

19340000064000 is an abundant number, since it is smaller than the sum of its proper divisors (71288416488960).

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

19340000064000 is a wasteful number, since it uses less digits than its factorization.

19340000064000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19039 (or 19010 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

Adding to 19340000064000 its reverse (46000004391), we get a palindrome (19386000068391).

The spelling of 19340000064000 in words is "nineteen trillion, three hundred forty billion, sixty-four thousand".