18379337874768 has 640 divisors, whose sum is σ = 59158613606400. Its totient is φ = 5425172121600.

The previous prime is 18379337874673. The next prime is 18379337874803. The reversal of 18379337874768 is 86747873397381.

18379337874768 is a `hidden beast` number, since 1 + 8 + 3 + 79 + 3 + 3 + 78 + 7 + 476 + 8 = 666.

It is a Cunningham number, because it is equal to 4287113²-1.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 11352277063 + ... + 11352278681.

It is an arithmetic number, because the mean of its divisors is an integer number (92435333760).

Almost surely, 2^{18379337874768} is an apocalyptic number.

18379337874768 is a gapful number since it is divisible by the number (18) 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 18379337874768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29579306803200).

18379337874768 is an abundant number, since it is smaller than the sum of its proper divisors (40779275731632).

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

18379337874768 is a wasteful number, since it uses less digits than its factorization.

18379337874768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2208 (or 2196 counting only the distinct ones).

The product of its digits is 7169347584, while the sum is 81.

The spelling of 18379337874768 in words is "eighteen trillion, three hundred seventy-nine billion, three hundred thirty-seven million, eight hundred seventy-four thousand, seven hundred sixty-eight".