17682120648 has 192 divisors, whose sum is σ = 51858144000. Its totient is φ = 5422749696.

The previous prime is 17682120641. The next prime is 17682120649. The reversal of 17682120648 is 84602128671.

It is a super-2 number, since 2×17682120648² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (17682120641) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10345618 + ... + 10347326.

It is an arithmetic number, because the mean of its divisors is an integer number (270094500).

Almost surely, 2^17682120648 is an apocalyptic number.

17682120648 is a gapful number since it is divisible by the number (18) 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 17682120648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25929072000).

17682120648 is an abundant number, since it is smaller than the sum of its proper divisors (34176023352).

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

17682120648 is a wasteful number, since it uses less digits than its factorization.

17682120648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1924 (or 1917 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The spelling of 17682120648 in words is "seventeen billion, six hundred eighty-two million, one hundred twenty thousand, six hundred forty-eight".