201693784320 has 1620 divisors, whose sum is σ = 892581186420. Its totient is φ = 43308711936.

The previous prime is 201693784309. The next prime is 201693784351. The reversal of 201693784320 is 23487396102.

201693784320 is a `hidden beast` number, since 20 + 169 + 37 + 8 + 432 + 0 = 666.

201693784320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 30059237376 + 171634546944 = 173376^2 + 414288^2 .

It is a tau number, because it is divible by the number of its divisors (1620).

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

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 179 ways as a sum of consecutive naturals, for example, 5451183342 + ... + 5451183378.

It is an arithmetic number, because the mean of its divisors is an integer number (550976041).

Almost surely, 2^201693784320 is an apocalyptic number.

201693784320 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 201693784320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (446290593210).

201693784320 is an abundant number, since it is smaller than the sum of its proper divisors (690887402100).

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

201693784320 is an equidigital number, since it uses as much as digits as its factorization.

201693784320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 201693784320 in words is "two hundred one billion, six hundred ninety-three million, seven hundred eighty-four thousand, three hundred twenty".