206748973200 has 540 divisors, whose sum is σ = 846848037840. Its totient is φ = 42959347200.

The previous prime is 206748973183. The next prime is 206748973201. The reversal of 206748973200 is 2379847602.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 206748973200.

It is not an unprimeable number, because it can be changed into a prime (206748973201) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 7100271 + ... + 7129329.

Almost surely, 2^206748973200 is an apocalyptic number.

206748973200 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 206748973200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (423424018920).

206748973200 is an abundant number, since it is smaller than the sum of its proper divisors (640099064640).

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

206748973200 is a wasteful number, since it uses less digits than its factorization.

206748973200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29116 (or 29087 counting only the distinct ones).

The product of its (nonzero) digits is 1016064, while the sum is 48.

The spelling of 206748973200 in words is "two hundred six billion, seven hundred forty-eight million, nine hundred seventy-three thousand, two hundred".