18629738820 has 288 divisors, whose sum is σ = 72095063040. Its totient is φ = 3780967680.

The previous prime is 18629738797. The next prime is 18629738837. The reversal of 18629738820 is 2883792681.

It is a happy number.

18629738820 is a `hidden beast` number, since 1 + 8 + 629 + 7 + 3 + 8 + 8 + 2 + 0 = 666.

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, 580351 + ... + 611609.

It is an arithmetic number, because the mean of its divisors is an integer number (250330080).

Almost surely, 2^18629738820 is an apocalyptic number.

18629738820 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 18629738820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36047531520).

18629738820 is an abundant number, since it is smaller than the sum of its proper divisors (53465324220).

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

18629738820 is a wasteful number, since it uses less digits than its factorization.

18629738820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31335 (or 31330 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 54.

The spelling of 18629738820 in words is "eighteen billion, six hundred twenty-nine million, seven hundred thirty-eight thousand, eight hundred twenty".