206479218960 has 640 divisors, whose sum is σ = 838630609920. Its totient is φ = 46290216960.

The previous prime is 206479218917. The next prime is 206479219007. The reversal of 206479218960 is 69812974602.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 206479218897 and 206479218906.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 64908570 + ... + 64911750.

It is an arithmetic number, because the mean of its divisors is an integer number (1310360328).

Almost surely, 2^206479218960 is an apocalyptic number.

206479218960 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 206479218960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (419315304960).

206479218960 is an abundant number, since it is smaller than the sum of its proper divisors (632151390960).

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

206479218960 is an equidigital number, since it uses as much as digits as its factorization.

206479218960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3275 (or 3251 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 54.

The spelling of 206479218960 in words is "two hundred six billion, four hundred seventy-nine million, two hundred eighteen thousand, nine hundred sixty".