17993431680 has 512 divisors, whose sum is σ = 71254425600. Its totient is φ = 3768975360.

The previous prime is 17993431679. The next prime is 17993431693. The reversal of 17993431680 is 8613439971.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7915024 + ... + 7917296.

It is an arithmetic number, because the mean of its divisors is an integer number (139168800).

Almost surely, 2^17993431680 is an apocalyptic number.

17993431680 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 17993431680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35627212800).

17993431680 is an abundant number, since it is smaller than the sum of its proper divisors (53260993920).

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

17993431680 is a wasteful number, since it uses less digits than its factorization.

17993431680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2352 (or 2340 counting only the distinct ones).

The product of its (nonzero) digits is 979776, while the sum is 51.

The spelling of 17993431680 in words is "seventeen billion, nine hundred ninety-three million, four hundred thirty-one thousand, six hundred eighty".