17953763968 has 128 divisors (see below), whose sum is σ = 42132430080. Its totient is φ = 7459651584.

The previous prime is 17953763953. The next prime is 17953763969. The reversal of 17953763968 is 86936735971.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (64).

It is not an unprimeable number, because it can be changed into a prime (17953763969) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 11171421 + ... + 11173027.

It is an arithmetic number, because the mean of its divisors is an integer number (329159610).

Almost surely, 2^17953763968 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 17953763968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21066215040).

17953763968 is an abundant number, since it is smaller than the sum of its proper divisors (24178666112).

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

17953763968 is a wasteful number, since it uses less digits than its factorization.

17953763968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2002 (or 1990 counting only the distinct ones).

The product of its digits is 51438240, while the sum is 64.

The spelling of 17953763968 in words is "seventeen billion, nine hundred fifty-three million, seven hundred sixty-three thousand, nine hundred sixty-eight".