200306748632640 has 448 divisors, whose sum is σ = 697889397004800. Its totient is φ = 48379581628416.

The previous prime is 200306748632623. The next prime is 200306748632671. The reversal of 200306748632640 is 46236847603002.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 139398156 + ... + 140827764.

It is an arithmetic number, because the mean of its divisors is an integer number (1557788832600).

Almost surely, 2^{200306748632640} is an apocalyptic number.

200306748632640 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 200306748632640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (348944698502400).

200306748632640 is an abundant number, since it is smaller than the sum of its proper divisors (497582648372160).

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

200306748632640 is a wasteful number, since it uses less digits than its factorization.

200306748632640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1429854 (or 1429844 counting only the distinct ones).

The product of its (nonzero) digits is 6967296, while the sum is 51.

The spelling of 200306748632640 in words is "two hundred trillion, three hundred six billion, seven hundred forty-eight million, six hundred thirty-two thousand, six hundred forty".