18830942000640 has 3840 divisors, whose sum is σ = 89837315758080. Its totient is φ = 3706979696640.

The previous prime is 18830942000627. The next prime is 18830942000641. The reversal of 18830942000640 is 4600024903881.

It is a happy number.

18830942000640 is a `hidden beast` number, since 1 + 88 + 309 + 4 + 200 + 0 + 64 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3840).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18830942000641) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 991102210551 + ... + 991102210569.

It is an arithmetic number, because the mean of its divisors is an integer number (23395134312).

Almost surely, 2^{18830942000640} is an apocalyptic number.

18830942000640 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 18830942000640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44918657879040).

18830942000640 is an abundant number, since it is smaller than the sum of its proper divisors (71006373757440).

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

18830942000640 is an frugal number, since it uses more digits than its factorization.

18830942000640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 18830942000640 in words is "eighteen trillion, eight hundred thirty billion, nine hundred forty-two million, six hundred forty", and thus it is an aban number.