18768117720 has 256 divisors, whose sum is σ = 62835264000. Its totient is φ = 4446351360.

The previous prime is 18768117713. The next prime is 18768117727. The reversal of 18768117720 is 2771186781.

It is an interprime number because it is at equal distance from previous prime (18768117713) and next prime (18768117727).

It is a self number, because there is not a number n which added to its sum of digits gives 18768117720.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18768117727) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12115506 + ... + 12117054.

It is an arithmetic number, because the mean of its divisors is an integer number (245450250).

Almost surely, 2^18768117720 is an apocalyptic number.

18768117720 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 18768117720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31417632000).

18768117720 is an abundant number, since it is smaller than the sum of its proper divisors (44067146280).

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

18768117720 is a wasteful number, since it uses less digits than its factorization.

18768117720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1778 (or 1774 counting only the distinct ones).

The product of its (nonzero) digits is 263424, while the sum is 48.

The spelling of 18768117720 in words is "eighteen billion, seven hundred sixty-eight million, one hundred seventeen thousand, seven hundred twenty".