201690424320 has 704 divisors, whose sum is σ = 830368530432. Its totient is φ = 40550400000.

The previous prime is 201690424267. The next prime is 201690424321. The reversal of 201690424320 is 23424096102.

201690424320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (704).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (201690424321) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 36661570 + ... + 36667070.

Almost surely, 2^201690424320 is an apocalyptic number.

201690424320 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 201690424320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (415184265216).

201690424320 is an abundant number, since it is smaller than the sum of its proper divisors (628678106112).

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

201690424320 is a wasteful number, since it uses less digits than its factorization.

201690424320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5578 (or 5560 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 33.

The spelling of 201690424320 in words is "two hundred one billion, six hundred ninety million, four hundred twenty-four thousand, three hundred twenty".