17681081640 has 256 divisors, whose sum is σ = 56783462400. Its totient is φ = 4394717184.

The previous prime is 17681081633. The next prime is 17681081651. The reversal of 17681081640 is 4618018671.

It is a junction number, because it is equal to n+sod(n) for n = 17681081592 and 17681081601.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 18096832 + ... + 18097808.

It is an arithmetic number, because the mean of its divisors is an integer number (221810400).

Almost surely, 2^17681081640 is an apocalyptic number.

17681081640 is a gapful number since it is divisible by the number (10) 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 17681081640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28391731200).

17681081640 is an abundant number, since it is smaller than the sum of its proper divisors (39102380760).

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

17681081640 is a wasteful number, since it uses less digits than its factorization.

17681081640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1176 (or 1172 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 42.

The spelling of 17681081640 in words is "seventeen billion, six hundred eighty-one million, eighty-one thousand, six hundred forty".