18400937909760 has 1280 divisors, whose sum is σ = 76237314785280. Its totient is φ = 4171682414592.

The previous prime is 18400937909759. The next prime is 18400937909771. The reversal of 18400937909760 is 6790973900481.

18400937909760 is a `hidden beast` number, since 1 + 8 + 400 + 93 + 79 + 0 + 9 + 76 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1280).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 4977260232 + ... + 4977263928.

It is an arithmetic number, because the mean of its divisors is an integer number (59560402176).

Almost surely, 2^{18400937909760} is an apocalyptic number.

18400937909760 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 18400937909760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38118657392640).

18400937909760 is an abundant number, since it is smaller than the sum of its proper divisors (57836376875520).

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

18400937909760 is an frugal number, since it uses more digits than its factorization.

18400937909760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3875 (or 3841 counting only the distinct ones).

The product of its (nonzero) digits is 20575296, while the sum is 63.

The spelling of 18400937909760 in words is "eighteen trillion, four hundred billion, nine hundred thirty-seven million, nine hundred nine thousand, seven hundred sixty".