200613008400 has 960 divisors, whose sum is σ = 818152777728. Its totient is φ = 40967700480.

The previous prime is 200613008381. The next prime is 200613008411. The reversal of 200613008400 is 4800316002.

It is a happy number.

200613008400 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

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 191 ways as a sum of consecutive naturals, for example, 227194359 + ... + 227195241.

Almost surely, 2^200613008400 is an apocalyptic number.

200613008400 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 200613008400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (409076388864).

200613008400 is an abundant number, since it is smaller than the sum of its proper divisors (617539769328).

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

200613008400 is a wasteful number, since it uses less digits than its factorization.

200613008400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1008 (or 997 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The spelling of 200613008400 in words is "two hundred billion, six hundred thirteen million, eight thousand, four hundred".