17640380568140 has 192 divisors, whose sum is σ = 42811247001600. Its totient is φ = 6042612576000.

The previous prime is 17640380568133. The next prime is 17640380568191. The reversal of 17640380568140 is 4186508304671.

It is a super-2 number, since 2×17640380568140² (a number of 27 digits) contains 22 as substring.

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, 327258911 + ... + 327312809.

It is an arithmetic number, because the mean of its divisors is an integer number (222975244800).

Almost surely, 2^{17640380568140} is an apocalyptic number.

17640380568140 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 17640380568140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21405623500800).

17640380568140 is an abundant number, since it is smaller than the sum of its proper divisors (25170866433460).

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

17640380568140 is a wasteful number, since it uses less digits than its factorization.

17640380568140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54924 (or 54922 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 53.

The spelling of 17640380568140 in words is "seventeen trillion, six hundred forty billion, three hundred eighty million, five hundred sixty-eight thousand, one hundred forty".