208447984640 has 264 divisors, whose sum is σ = 603161356032. Its totient is φ = 67702210560.

The previous prime is 208447984637. The next prime is 208447984663. The reversal of 208447984640 is 46489744802.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12930185 + ... + 12946295.

Almost surely, 2^208447984640 is an apocalyptic number.

208447984640 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 208447984640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (301580678016).

208447984640 is an abundant number, since it is smaller than the sum of its proper divisors (394713371392).

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

208447984640 is a wasteful number, since it uses less digits than its factorization.

208447984640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16181 (or 16144 counting only the distinct ones).

The product of its (nonzero) digits is 12386304, while the sum is 56.

The spelling of 208447984640 in words is "two hundred eight billion, four hundred forty-seven million, nine hundred eighty-four thousand, six hundred forty".