200963727648 has 768 divisors, whose sum is σ = 681532185600. Its totient is φ = 57224724480.

The previous prime is 200963727641. The next prime is 200963727659. The reversal of 200963727648 is 846727369002.

200963727648 is a `hidden beast` number, since 200 + 9 + 6 + 372 + 7 + 64 + 8 = 666.

It is a super-2 number, since 2×200963727648² (a number of 23 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 200963727594 and 200963727603.

It is not an unprimeable number, because it can be changed into a prime (200963727641) 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 127 ways as a sum of consecutive naturals, for example, 715173268 + ... + 715173548.

It is an arithmetic number, because the mean of its divisors is an integer number (887411700).

Almost surely, 2^200963727648 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 200963727648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (340766092800).

200963727648 is an abundant number, since it is smaller than the sum of its proper divisors (480568457952).

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

200963727648 is a wasteful number, since it uses less digits than its factorization.

200963727648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 442 (or 428 counting only the distinct ones).

The product of its (nonzero) digits is 6096384, while the sum is 54.

The spelling of 200963727648 in words is "two hundred billion, nine hundred sixty-three million, seven hundred twenty-seven thousand, six hundred forty-eight".