200268980732736 has 560 divisors, whose sum is σ = 646769246464000. Its totient is φ = 61040907002880.

The previous prime is 200268980732719. The next prime is 200268980732741. The reversal of 200268980732736 is 637237089862002.

It is a happy number.

200268980732736 is a `hidden beast` number, since 20 + 0 + 268 + 9 + 80 + 7 + 3 + 273 + 6 = 666.

It is a hoax number, since the sum of its digits (63) coincides with the sum of the digits of its distinct prime factors.

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 79 ways as a sum of consecutive naturals, for example, 1157142975 + ... + 1157316033.

Almost surely, 2^{200268980732736} 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 200268980732736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (323384623232000).

200268980732736 is an abundant number, since it is smaller than the sum of its proper divisors (446500265731264).

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

200268980732736 is a wasteful number, since it uses less digits than its factorization.

200268980732736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173512 (or 173493 counting only the distinct ones).

The product of its (nonzero) digits is 73156608, while the sum is 63.

The spelling of 200268980732736 in words is "two hundred trillion, two hundred sixty-eight billion, nine hundred eighty million, seven hundred thirty-two thousand, seven hundred thirty-six".