18778631760 has 720 divisors, whose sum is σ = 79074403200. Its totient is φ = 4051233792.

The previous prime is 18778631731. The next prime is 18778631761. The reversal of 18778631760 is 6713687781.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 18778631697 and 18778631706.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18778631761) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 69808906 + ... + 69809174.

It is an arithmetic number, because the mean of its divisors is an integer number (109825560).

Almost surely, 2^18778631760 is an apocalyptic number.

18778631760 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 18778631760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39537201600).

18778631760 is an abundant number, since it is smaller than the sum of its proper divisors (60295771440).

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

18778631760 is an equidigital number, since it uses as much as digits as its factorization.

18778631760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 332 (or 305 counting only the distinct ones).

The product of its (nonzero) digits is 2370816, while the sum is 54.

The spelling of 18778631760 in words is "eighteen billion, seven hundred seventy-eight million, six hundred thirty-one thousand, seven hundred sixty".