18940832640000 has 2200 divisors, whose sum is σ = 75071571719760. Its totient is φ = 4747051008000.

The previous prime is 18940832639951. The next prime is 18940832640031. The reversal of 18940832640000 is 4623804981.

It is a happy number.

18940832640000 is a `hidden beast` number, since 189 + 40 + 8 + 3 + 26 + 400 + 0 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 199 ways as a sum of consecutive naturals, for example, 64644479854 + ... + 64644480146.

Almost surely, 2^{18940832640000} is an apocalyptic number.

18940832640000 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 18940832640000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37535785859880).

18940832640000 is an abundant number, since it is smaller than the sum of its proper divisors (56130739079760).

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

18940832640000 is an equidigital number, since it uses as much as digits as its factorization.

18940832640000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 417 (or 375 counting only the distinct ones).

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

The spelling of 18940832640000 in words is "eighteen trillion, nine hundred forty billion, eight hundred thirty-two million, six hundred forty thousand".