200068477440 has 320 divisors, whose sum is σ = 689787850752. Its totient is φ = 49176576000.

The previous prime is 200068477429. The next prime is 200068477451. The reversal of 200068477440 is 44774860002.

It is an interprime number because it is at equal distance from previous prime (200068477429) and next prime (200068477451).

It is a tau number, because it is divible by the number of its divisors (320).

It is a junction number, because it is equal to n+sod(n) for n = 200068477392 and 200068477401.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 114914970 + ... + 114916710.

Almost surely, 2^200068477440 is an apocalyptic number.

200068477440 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 200068477440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (344893925376).

200068477440 is an abundant number, since it is smaller than the sum of its proper divisors (489719373312).

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

200068477440 is a wasteful number, since it uses less digits than its factorization.

200068477440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2931 (or 2915 counting only the distinct ones).

The product of its (nonzero) digits is 301056, while the sum is 42.

The spelling of 200068477440 in words is "two hundred billion, sixty-eight million, four hundred seventy-seven thousand, four hundred forty".