16332840000 has 525 divisors, whose sum is σ = 61364318851. Its totient is φ = 4294080000.

The previous prime is 16332839993. The next prime is 16332840011. The reversal of 16332840000 is 4823361.

It is a happy number.

The square root of 16332840000 is 127800.

It is a perfect power (a square), and thus also a powerful number.

16332840000 is a `hidden beast` number, since 1 + 633 + 28 + 4 + 0 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1280494656 + 15052345344 = 35784^2 + 122688^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 74 ways as a sum of consecutive naturals, for example, 230039965 + ... + 230040035.

Almost surely, 2^16332840000 is an apocalyptic number.

16332840000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

16332840000 is the 127800-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16332840000

16332840000 is an abundant number, since it is smaller than the sum of its proper divisors (45031478851).

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

16332840000 is an frugal number, since it uses more digits than its factorization.

16332840000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The spelling of 16332840000 in words is "sixteen billion, three hundred thirty-two million, eight hundred forty thousand".