208630840320 has 704 divisors, whose sum is σ = 870406671360. Its totient is φ = 46390247424.

The previous prime is 208630840309. The next prime is 208630840337. The reversal of 208630840320 is 23048036802.

208630840320 is a `hidden beast` number, since 20 + 8 + 6 + 308 + 4 + 0 + 320 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 35801247 + ... + 35807073.

Almost surely, 2^208630840320 is an apocalyptic number.

208630840320 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 208630840320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (435203335680).

208630840320 is an abundant number, since it is smaller than the sum of its proper divisors (661775831040).

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

208630840320 is a wasteful number, since it uses less digits than its factorization.

208630840320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5905 (or 5881 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The spelling of 208630840320 in words is "two hundred eight billion, six hundred thirty million, eight hundred forty thousand, three hundred twenty".