200745887328 has 240 divisors, whose sum is σ = 675867376800. Its totient is φ = 57259229184.

The previous prime is 200745887317. The next prime is 200745887339. The reversal of 200745887328 is 823788547002.

200745887328 is a `hidden beast` number, since 20 + 0 + 7 + 4 + 588 + 7 + 32 + 8 = 666.

200745887328 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (200745887317) and next prime (200745887339).

It is a super-2 number, since 2×200745887328² (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 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 39 ways as a sum of consecutive naturals, for example, 11113248 + ... + 11131296.

It is an arithmetic number, because the mean of its divisors is an integer number (2816114070).

Almost surely, 2^200745887328 is an apocalyptic number.

200745887328 is a gapful number since it is divisible by the number (28) 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 200745887328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (337933688400).

200745887328 is an abundant number, since it is smaller than the sum of its proper divisors (475121489472).

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

200745887328 is a wasteful number, since it uses less digits than its factorization.

200745887328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18691 (or 18674 counting only the distinct ones).

The product of its (nonzero) digits is 6021120, while the sum is 54.

The spelling of 200745887328 in words is "two hundred billion, seven hundred forty-five million, eight hundred eighty-seven thousand, three hundred twenty-eight".