200721920400 has 675 divisors, whose sum is σ = 766132833873. Its totient is φ = 50321606400.

The previous prime is 200721920393. The next prime is 200721920423. The reversal of 200721920400 is 4029127002.

The square root of 200721920400 is 448020.

It is a perfect power (a square), and thus also a powerful number.

200721920400 is a `hidden beast` number, since 2 + 0 + 0 + 72 + 192 + 0 + 400 = 666.

It can be written as a sum of positive squares in only one way, i.e., 72259891344 + 128462029056 = 268812^2 + 358416^2 .

It is a tau number, because it is divible by the number of its divisors (675).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 1532228335 + ... + 1532228465.

Almost surely, 2^200721920400 is an apocalyptic number.

200721920400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

200721920400 is the 448020-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 200721920400

200721920400 is an abundant number, since it is smaller than the sum of its proper divisors (565410913473).

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

200721920400 is a wasteful number, since it uses less digits than its factorization.

200721920400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 330 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The spelling of 200721920400 in words is "two hundred billion, seven hundred twenty-one million, nine hundred twenty thousand, four hundred".