16806319680 has 224 divisors, whose sum is σ = 56732887296. Its totient is φ = 4200595456.

The previous prime is 16806319589. The next prime is 16806319723. The reversal of 16806319680 is 8691360861.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4192237 + ... + 4196243.

Almost surely, 2^16806319680 is an apocalyptic number.

16806319680 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 16806319680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28366443648).

16806319680 is an abundant number, since it is smaller than the sum of its proper divisors (39926567616).

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

16806319680 is a wasteful number, since it uses less digits than its factorization.

16806319680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4301 (or 4291 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 48.

The spelling of 16806319680 in words is "sixteen billion, eight hundred six million, three hundred nineteen thousand, six hundred eighty".