208467084672 has 320 divisors, whose sum is σ = 773482026240. Its totient is φ = 54147087360.

The previous prime is 208467084667. The next prime is 208467084673. The reversal of 208467084672 is 276480764802.

It is a happy number.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (208467084673) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 667773 + ... + 928899.

It is an arithmetic number, because the mean of its divisors is an integer number (2417131332).

Almost surely, 2^208467084672 is an apocalyptic number.

208467084672 is a gapful number since it is divisible by the number (22) 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 208467084672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (386741013120).

208467084672 is an abundant number, since it is smaller than the sum of its proper divisors (565014941568).

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

208467084672 is a wasteful number, since it uses less digits than its factorization.

208467084672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 261171 (or 261150 counting only the distinct ones).

The product of its (nonzero) digits is 7225344, while the sum is 54.

The spelling of 208467084672 in words is "two hundred eight billion, four hundred sixty-seven million, eighty-four thousand, six hundred seventy-two".