18642546942240 has 384 divisors, whose sum is σ = 63386314387200. Its totient is φ = 4578423275520.

The previous prime is 18642546942209. The next prime is 18642546942259. The reversal of 18642546942240 is 4224964524681.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8172969900 + ... + 8172972180.

It is an arithmetic number, because the mean of its divisors is an integer number (165068527050).

Almost surely, 2^{18642546942240} is an apocalyptic number.

18642546942240 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 18642546942240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31693157193600).

18642546942240 is an abundant number, since it is smaller than the sum of its proper divisors (44743767444960).

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

18642546942240 is a wasteful number, since it uses less digits than its factorization.

18642546942240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4740 (or 4732 counting only the distinct ones).

The product of its (nonzero) digits is 26542080, while the sum is 57.

The spelling of 18642546942240 in words is "eighteen trillion, six hundred forty-two billion, five hundred forty-six million, nine hundred forty-two thousand, two hundred forty".