206664550400 has 1152 divisors, whose sum is σ = 701955072000. Its totient is φ = 58392576000.

The previous prime is 206664550397. The next prime is 206664550439. The reversal of 206664550400 is 4055466602.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2322073556 + ... + 2322073644.

It is an arithmetic number, because the mean of its divisors is an integer number (609336000).

Almost surely, 2^206664550400 is an apocalyptic number.

206664550400 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 206664550400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (350977536000).

206664550400 is an abundant number, since it is smaller than the sum of its proper divisors (495290521600).

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

206664550400 is a wasteful number, since it uses less digits than its factorization.

206664550400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 189 (or 164 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 38.

The spelling of 206664550400 in words is "two hundred six billion, six hundred sixty-four million, five hundred fifty thousand, four hundred".