16973728000 has 72 divisors (see below), whose sum is σ = 42283757880. Its totient is φ = 6789478400.

The previous prime is 16973727971. The next prime is 16973728021. The reversal of 16973728000 is 82737961.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 3166537984 + 13807190016 = 56272^2 + 117504^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 233215 + ... + 297214.

It is an arithmetic number, because the mean of its divisors is an integer number (587274415).

Almost surely, 2^16973728000 is an apocalyptic number.

16973728000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

16973728000 is an abundant number, since it is smaller than the sum of its proper divisors (25310029880).

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

16973728000 is an frugal number, since it uses more digits than its factorization.

16973728000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 530460 (or 530436 counting only the distinct ones).

The product of its (nonzero) digits is 127008, while the sum is 43.

The spelling of 16973728000 in words is "sixteen billion, nine hundred seventy-three million, seven hundred twenty-eight thousand".