209490341760 has 768 divisors, whose sum is σ = 903699763200. Its totient is φ = 43608637440.

The previous prime is 209490341747. The next prime is 209490341761. The reversal of 209490341760 is 67143094902.

It is a happy number.

209490341760 is a `hidden beast` number, since 2 + 0 + 94 + 90 + 3 + 417 + 60 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (209490341761) 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 95 ways as a sum of consecutive naturals, for example, 21243711 + ... + 21253569.

It is an arithmetic number, because the mean of its divisors is an integer number (1176692400).

Almost surely, 2^209490341760 is an apocalyptic number.

209490341760 is a gapful number since it is divisible by the number (20) 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 209490341760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (451849881600).

209490341760 is an abundant number, since it is smaller than the sum of its proper divisors (694209421440).

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

209490341760 is a wasteful number, since it uses less digits than its factorization.

209490341760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9939 (or 9924 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The spelling of 209490341760 in words is "two hundred nine billion, four hundred ninety million, three hundred forty-one thousand, seven hundred sixty".