18945966942720 has 640 divisors, whose sum is σ = 70887320064000. Its totient is φ = 4783128330240.

The previous prime is 18945966942697. The next prime is 18945966942803. The reversal of 18945966942720 is 2724966954981.

18945966942720 is a `hidden beast` number, since 1 + 8 + 9 + 4 + 596 + 6 + 9 + 4 + 2 + 7 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2404611741 + ... + 2404619619.

It is an arithmetic number, because the mean of its divisors is an integer number (110761437600).

Almost surely, 2^{18945966942720} is an apocalyptic number.

18945966942720 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 18945966942720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35443660032000).

18945966942720 is an abundant number, since it is smaller than the sum of its proper divisors (51941353121280).

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

18945966942720 is a wasteful number, since it uses less digits than its factorization.

18945966942720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9761 (or 9739 counting only the distinct ones).

The product of its (nonzero) digits is 470292480, while the sum is 72.

The spelling of 18945966942720 in words is "eighteen trillion, nine hundred forty-five billion, nine hundred sixty-six million, nine hundred forty-two thousand, seven hundred twenty".