17268008640 has 224 divisors, whose sum is σ = 57831045120. Its totient is φ = 4353417216.

The previous prime is 17268008629. The next prime is 17268008657. The reversal of 17268008640 is 4680086271.

It is a super-2 number, since 2×17268008640² (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 17268008592 and 17268008601.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15740572 + ... + 15741668.

Almost surely, 2^17268008640 is an apocalyptic number.

17268008640 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 17268008640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28915522560).

17268008640 is an abundant number, since it is smaller than the sum of its proper divisors (40563036480).

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

17268008640 is a wasteful number, since it uses less digits than its factorization.

17268008640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1999 (or 1989 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 42.

The spelling of 17268008640 in words is "seventeen billion, two hundred sixty-eight million, eight thousand, six hundred forty".