200603167064640 has 1512 divisors, whose sum is σ = 765785344484160. Its totient is φ = 50039084040192.

The previous prime is 200603167064627. The next prime is 200603167064647. The reversal of 200603167064640 is 46460761306002.

It is a happy number.

200603167064640 is a `hidden beast` number, since 20 + 0 + 6 + 0 + 3 + 167 + 0 + 6 + 464 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (200603167064647) 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 215 ways as a sum of consecutive naturals, for example, 108610268197 + ... + 108610270043.

It is an arithmetic number, because the mean of its divisors is an integer number (506471788680).

Almost surely, 2^{200603167064640} is an apocalyptic number.

200603167064640 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 200603167064640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (382892672242080).

200603167064640 is an abundant number, since it is smaller than the sum of its proper divisors (565182177419520).

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

200603167064640 is an equidigital number, since it uses as much as digits as its factorization.

200603167064640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2101 (or 2053 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 45.

The spelling of 200603167064640 in words is "two hundred trillion, six hundred three billion, one hundred sixty-seven million, sixty-four thousand, six hundred forty".