16689784320 has 640 divisors, whose sum is σ = 65712936960. Its totient is φ = 4031078400.

The previous prime is 16689784277. The next prime is 16689784339. The reversal of 16689784320 is 2348798661.

16689784320 is a `hidden beast` number, since 1 + 66 + 89 + 78 + 432 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

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, 61585785 + ... + 61586055.

It is an arithmetic number, because the mean of its divisors is an integer number (102676464).

Almost surely, 2^16689784320 is an apocalyptic number.

16689784320 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 16689784320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32856468480).

16689784320 is an abundant number, since it is smaller than the sum of its proper divisors (49023152640).

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

16689784320 is an frugal number, since it uses more digits than its factorization.

16689784320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 326 (or 292 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The spelling of 16689784320 in words is "sixteen billion, six hundred eighty-nine million, seven hundred eighty-four thousand, three hundred twenty".