18687127680 has 768 divisors, whose sum is σ = 73469376000. Its totient is φ = 4541681664.

The previous prime is 18687127673. The next prime is 18687127729. The reversal of 18687127680 is 8672178681.

It is a happy number.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 236545881 + ... + 236545959.

It is an arithmetic number, because the mean of its divisors is an integer number (95663250).

Almost surely, 2^18687127680 is an apocalyptic number.

18687127680 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 18687127680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36734688000).

18687127680 is an abundant number, since it is smaller than the sum of its proper divisors (54782248320).

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

18687127680 is an frugal number, since it uses more digits than its factorization.

18687127680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 1806336, while the sum is 54.

The spelling of 18687127680 in words is "eighteen billion, six hundred eighty-seven million, one hundred twenty-seven thousand, six hundred eighty".