17956867968 has 448 divisors, whose sum is σ = 58717446480. Its totient is φ = 5434490880.

The previous prime is 17956867963. The next prime is 17956868011. The reversal of 17956867968 is 86976865971.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 17956867896 and 17956867905.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (17956867961) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 137075263 + ... + 137075393.

Almost surely, 2^17956867968 is an apocalyptic number.

17956867968 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 17956867968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29358723240).

17956867968 is an abundant number, since it is smaller than the sum of its proper divisors (40760578512).

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

17956867968 is a wasteful number, since it uses less digits than its factorization.

17956867968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 289 (or 262 counting only the distinct ones).

The product of its digits is 274337280, while the sum is 72.

The spelling of 17956867968 in words is "seventeen billion, nine hundred fifty-six million, eight hundred sixty-seven thousand, nine hundred sixty-eight".