208673721040 has 80 divisors (see below), whose sum is σ = 509187731328. Its totient is φ = 79378754048.

The previous prime is 208673721031. The next prime is 208673721103. The reversal of 208673721040 is 40127376802.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 208673720984 and 208673721002.

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 15 ways as a sum of consecutive naturals, for example, 9454 + ... + 646093.

Almost surely, 2^208673721040 is an apocalyptic number.

208673721040 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 208673721040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254593865664).

208673721040 is an abundant number, since it is smaller than the sum of its proper divisors (300514010288).

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

208673721040 is a wasteful number, since it uses less digits than its factorization.

208673721040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 655756 (or 655750 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 40.

The spelling of 208673721040 in words is "two hundred eight billion, six hundred seventy-three million, seven hundred twenty-one thousand, forty".