18768213390528 has 1792 divisors, whose sum is σ = 70455909888000. Its totient is φ = 4877107200000.

The previous prime is 18768213390503. The next prime is 18768213390539. The reversal of 18768213390528 is 82509331286781.

18768213390528 is a `hidden beast` number, since 1 + 8 + 7 + 6 + 8 + 2 + 13 + 3 + 90 + 528 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 74773758403 + ... + 74773758653.

It is an arithmetic number, because the mean of its divisors is an integer number (39316914000).

Almost surely, 2^{18768213390528} is an apocalyptic number.

18768213390528 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 18768213390528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35227954944000).

18768213390528 is an abundant number, since it is smaller than the sum of its proper divisors (51687696497472).

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

18768213390528 is a wasteful number, since it uses less digits than its factorization.

18768213390528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 532 (or 502 counting only the distinct ones).

The product of its (nonzero) digits is 34836480, while the sum is 63.

The spelling of 18768213390528 in words is "eighteen trillion, seven hundred sixty-eight billion, two hundred thirteen million, three hundred ninety thousand, five hundred twenty-eight".