208968812640 has 1152 divisors, whose sum is σ = 901622292480. Its totient is φ = 42998169600.

The previous prime is 208968812629. The next prime is 208968812651. The reversal of 208968812640 is 46218869802.

It is an interprime number because it is at equal distance from previous prime (208968812629) and next prime (208968812651).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 362164032 + ... + 362164608.

It is an arithmetic number, because the mean of its divisors is an integer number (782658240).

Almost surely, 2^208968812640 is an apocalyptic number.

208968812640 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 208968812640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (450811146240).

208968812640 is an abundant number, since it is smaller than the sum of its proper divisors (692653479840).

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

208968812640 is a wasteful number, since it uses less digits than its factorization.

208968812640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 716 (or 705 counting only the distinct ones).

The product of its (nonzero) digits is 2654208, while the sum is 54.

The spelling of 208968812640 in words is "two hundred eight billion, nine hundred sixty-eight million, eight hundred twelve thousand, six hundred forty".