16968875040 has 576 divisors, whose sum is σ = 67048031232. Its totient is φ = 3870720000.

The previous prime is 16968874961. The next prime is 16968875051. The reversal of 16968875040 is 4057886961.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 22594665 + ... + 22595415.

It is an arithmetic number, because the mean of its divisors is an integer number (116402832).

Almost surely, 2^16968875040 is an apocalyptic number.

16968875040 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 16968875040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33524015616).

16968875040 is an abundant number, since it is smaller than the sum of its proper divisors (50079156192).

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

16968875040 is a wasteful number, since it uses less digits than its factorization.

16968875040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 873 (or 862 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The spelling of 16968875040 in words is "sixteen billion, nine hundred sixty-eight million, eight hundred seventy-five thousand, forty".