16630272000 has 520 divisors, whose sum is σ = 62154553032. Its totient is φ = 4423680000.

The previous prime is 16630271951. The next prime is 16630272019. The reversal of 16630272000 is 27203661.

It is a happy number.

16630272000 is a `hidden beast` number, since 1 + 6 + 630 + 2 + 7 + 20 + 0 + 0 = 666.

16630272000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 279023616 + 16351248384 = 16704^2 + 127872^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 41471800 + ... + 41472200.

Almost surely, 2^16630272000 is an apocalyptic number.

16630272000 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 16630272000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31077276516).

16630272000 is an abundant number, since it is smaller than the sum of its proper divisors (45524281032).

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

16630272000 is an frugal number, since it uses more digits than its factorization.

16630272000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 452 (or 411 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

Adding to 16630272000 its reverse (27203661), we get a palindrome (16657475661).

The spelling of 16630272000 in words is "sixteen billion, six hundred thirty million, two hundred seventy-two thousand".