18966469818240 has 1024 divisors, whose sum is σ = 79358504140800. Its totient is φ = 4189365411840.

The previous prime is 18966469818239. The next prime is 18966469818277. The reversal of 18966469818240 is 4281896466981.

18966469818240 is a `hidden beast` number, since 1 + 8 + 9 + 6 + 6 + 469 + 81 + 82 + 4 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2951057907 + ... + 2951064333.

It is an arithmetic number, because the mean of its divisors is an integer number (77498539200).

Almost surely, 2^{18966469818240} is an apocalyptic number.

18966469818240 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 18966469818240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39679252070400).

18966469818240 is an abundant number, since it is smaller than the sum of its proper divisors (60392034322560).

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

18966469818240 is a wasteful number, since it uses less digits than its factorization.

18966469818240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7280 (or 7262 counting only the distinct ones).

The product of its (nonzero) digits is 286654464, while the sum is 72.

The spelling of 18966469818240 in words is "eighteen trillion, nine hundred sixty-six billion, four hundred sixty-nine million, eight hundred eighteen thousand, two hundred forty".