16643467975680 has 2464 divisors, whose sum is σ = 77581286899200. Its totient is φ = 3325478436864.

The previous prime is 16643467975679. The next prime is 16643467975703. The reversal of 16643467975680 is 8657976434661.

16643467975680 is a `hidden beast` number, since 1 + 6 + 6 + 434 + 67 + 9 + 7 + 56 + 80 = 666.

16643467975680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 16643467975599 and 16643467975608.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 6453456631 + ... + 6453459209.

Almost surely, 2^{16643467975680} is an apocalyptic number.

16643467975680 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 16643467975680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38790643449600).

16643467975680 is an abundant number, since it is smaller than the sum of its proper divisors (60937818923520).

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

16643467975680 is a wasteful number, since it uses less digits than its factorization.

16643467975680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2661 (or 2628 counting only the distinct ones).

The product of its (nonzero) digits is 1097349120, while the sum is 72.

The spelling of 16643467975680 in words is "sixteen trillion, six hundred forty-three billion, four hundred sixty-seven million, nine hundred seventy-five thousand, six hundred eighty".