18769441824 has 480 divisors, whose sum is σ = 67496115456. Its totient is φ = 4999864320.

The previous prime is 18769441811. The next prime is 18769441853. The reversal of 18769441824 is 42814496781.

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

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 17109244 + ... + 17110340.

Almost surely, 2^18769441824 is an apocalyptic number.

18769441824 is a gapful number since it is divisible by the number (14) 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 18769441824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33748057728).

18769441824 is an abundant number, since it is smaller than the sum of its proper divisors (48726673632).

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

18769441824 is a wasteful number, since it uses less digits than its factorization.

18769441824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1190 (or 1173 counting only the distinct ones).

The product of its digits is 3096576, while the sum is 54.

The spelling of 18769441824 in words is "eighteen billion, seven hundred sixty-nine million, four hundred forty-one thousand, eight hundred twenty-four".