18768199680 has 456 divisors, whose sum is σ = 68375413392. Its totient is φ = 4756340736.

The previous prime is 18768199679. The next prime is 18768199687. The reversal of 18768199680 is 8699186781.

It is not an unprimeable number, because it can be changed into a prime (18768199687) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 436469739 + ... + 436469781.

It is an arithmetic number, because the mean of its divisors is an integer number (149946082).

Almost surely, 2^18768199680 is an apocalyptic number.

18768199680 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 18768199680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34187706696).

18768199680 is an abundant number, since it is smaller than the sum of its proper divisors (49607213712).

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

18768199680 is an frugal number, since it uses more digits than its factorization.

18768199680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 10450944, while the sum is 63.

The spelling of 18768199680 in words is "eighteen billion, seven hundred sixty-eight million, one hundred ninety-nine thousand, six hundred eighty".