16980414660 has 288 divisors, whose sum is σ = 58938122880. Its totient is φ = 3919104000.

The previous prime is 16980414629. The next prime is 16980414667. The reversal of 16980414660 is 6641408961.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (16980414667) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4189635 + ... + 4193685.

It is an arithmetic number, because the mean of its divisors is an integer number (204646260).

Almost surely, 2^16980414660 is an apocalyptic number.

16980414660 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 16980414660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29469061440).

16980414660 is an abundant number, since it is smaller than the sum of its proper divisors (41957708220).

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

16980414660 is a wasteful number, since it uses less digits than its factorization.

16980414660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4179 (or 4174 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 16980414660 in words is "sixteen billion, nine hundred eighty million, four hundred fourteen thousand, six hundred sixty".