206333460480 has 960 divisors, whose sum is σ = 804476510208. Its totient is φ = 44166021120.

The previous prime is 206333460479. The next prime is 206333460497. The reversal of 206333460480 is 84064333602.

It is a tau number, because it is divible by the number of its divisors (960).

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2826485724 + ... + 2826485796.

Almost surely, 2^206333460480 is an apocalyptic number.

206333460480 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 206333460480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (402238255104).

206333460480 is an abundant number, since it is smaller than the sum of its proper divisors (598143049728).

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

206333460480 is an equidigital number, since it uses as much as digits as its factorization.

206333460480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200 (or 174 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 39.

The spelling of 206333460480 in words is "two hundred six billion, three hundred thirty-three million, four hundred sixty thousand, four hundred eighty".