206946900468480 has 288 divisors, whose sum is σ = 712691662717440. Its totient is φ = 51006167285760.

The previous prime is 206946900468467. The next prime is 206946900468481. The reversal of 206946900468480 is 84864009649602.

It is a super-2 number, since 2×206946900468480² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (206946900468481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 31599412 + ... + 37582131.

It is an arithmetic number, because the mean of its divisors is an integer number (2474623828880).

Almost surely, 2^{206946900468480} is an apocalyptic number.

206946900468480 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

206946900468480 is an abundant number, since it is smaller than the sum of its proper divisors (505744762248960).

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

206946900468480 is a wasteful number, since it uses less digits than its factorization.

206946900468480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69181627 (or 69181613 counting only the distinct ones).

The product of its (nonzero) digits is 143327232, while the sum is 66.

The spelling of 206946900468480 in words is "two hundred six trillion, nine hundred forty-six billion, nine hundred million, four hundred sixty-eight thousand, four hundred eighty".