199697322240 has 1296 divisors, whose sum is σ = 808760272320. Its totient is φ = 47098920960.

The previous prime is 199697322221. The next prime is 199697322241. The reversal of 199697322240 is 42223796991.

199697322240 is a `hidden beast` number, since 19 + 9 + 69 + 7 + 322 + 240 = 666.

It is a tau number, because it is divible by the number of its divisors (1296).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (199697322241) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1524406975 + ... + 1524407105.

It is an arithmetic number, because the mean of its divisors is an integer number (624043420).

Almost surely, 2^199697322240 is an apocalyptic number.

199697322240 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 199697322240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (404380136160).

199697322240 is an abundant number, since it is smaller than the sum of its proper divisors (609062950080).

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

199697322240 is a wasteful number, since it uses less digits than its factorization.

199697322240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 222 (or 183 counting only the distinct ones).

The product of its (nonzero) digits is 2939328, while the sum is 54.

The spelling of 199697322240 in words is "one hundred ninety-nine billion, six hundred ninety-seven million, three hundred twenty-two thousand, two hundred forty".