18436594667040 has 720 divisors, whose sum is σ = 74201497989696. Its totient is φ = 4275134899200.

The previous prime is 18436594666991. The next prime is 18436594667047. The reversal of 18436594667040 is 4076649563481.

18436594667040 is a `hidden beast` number, since 1 + 8 + 4 + 3 + 65 + 9 + 466 + 70 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is not an unprimeable number, because it can be changed into a prime (18436594667047) by changing a digit.

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 119 ways as a sum of consecutive naturals, for example, 75292005 + ... + 75536475.

Almost surely, 2^{18436594667040} is an apocalyptic number.

18436594667040 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 18436594667040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37100748994848).

18436594667040 is an abundant number, since it is smaller than the sum of its proper divisors (55764903322656).

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

18436594667040 is a wasteful number, since it uses less digits than its factorization.

18436594667040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 244555 (or 244515 counting only the distinct ones).

The product of its (nonzero) digits is 104509440, while the sum is 63.

The spelling of 18436594667040 in words is "eighteen trillion, four hundred thirty-six billion, five hundred ninety-four million, six hundred sixty-seven thousand, forty".