16724540001680 has 320 divisors, whose sum is σ = 47276764093440. Its totient is φ = 5379648970752.

The previous prime is 16724540001649. The next prime is 16724540001773. The reversal of 16724540001680 is 8610004542761.

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, 464462237 + ... + 464498243.

It is an arithmetic number, because the mean of its divisors is an integer number (147739887792).

Almost surely, 2^{16724540001680} is an apocalyptic number.

16724540001680 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 16724540001680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23638382046720).

16724540001680 is an abundant number, since it is smaller than the sum of its proper divisors (30552224091760).

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

16724540001680 is a wasteful number, since it uses less digits than its factorization.

16724540001680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36866 (or 36860 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 44.

The spelling of 16724540001680 in words is "sixteen trillion, seven hundred twenty-four billion, five hundred forty million, one thousand, six hundred eighty".