18973937664000 has 1536 divisors, whose sum is σ = 77433631067520. Its totient is φ = 4597088256000.

The previous prime is 18973937663977. The next prime is 18973937664043. The reversal of 18973937664000 is 46673937981.

18973937664000 is a `hidden beast` number, since 1 + 8 + 9 + 73 + 93 + 76 + 6 + 400 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1536).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10948607134 + ... + 10948608866.

Almost surely, 2^{18973937664000} is an apocalyptic number.

18973937664000 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 18973937664000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38716815533760).

18973937664000 is an abundant number, since it is smaller than the sum of its proper divisors (58459693403520).

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

18973937664000 is an frugal number, since it uses more digits than its factorization.

18973937664000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1804 (or 1754 counting only the distinct ones).

The product of its (nonzero) digits is 41150592, while the sum is 63.

The spelling of 18973937664000 in words is "eighteen trillion, nine hundred seventy-three billion, nine hundred thirty-seven million, six hundred sixty-four thousand".