17782212672 has 168 divisors, whose sum is σ = 58515032576. Its totient is φ = 5057593344.

The previous prime is 17782212659. The next prime is 17782212703. The reversal of 17782212672 is 27621228771.

It is a tau number, because it is divible by the number of its divisors (168).

It is a nude number because it is divisible by every one of its digits.

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, 889248 + ... + 909024.

Almost surely, 2^17782212672 is an apocalyptic number.

17782212672 is a gapful number since it is divisible by the number (12) 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 17782212672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29257516288).

17782212672 is an abundant number, since it is smaller than the sum of its proper divisors (40732819904).

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

17782212672 is a wasteful number, since it uses less digits than its factorization.

17782212672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20025 (or 20012 counting only the distinct ones).

The product of its digits is 263424, while the sum is 45.

The spelling of 17782212672 in words is "seventeen billion, seven hundred eighty-two million, two hundred twelve thousand, six hundred seventy-two".