26673169920 has 640 divisors, whose sum is σ = 95033917440. Its totient is φ = 6358302720.

The previous prime is 26673169909. The next prime is 26673169937. The reversal of 26673169920 is 2996137662.

It is a tau number, because it is divible by the number of its divisors (640).

It is a super-4 number, since 4×26673169920⁴ (a number of 43 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 210024897 + ... + 210025023.

It is an arithmetic number, because the mean of its divisors is an integer number (148490496).

Almost surely, 2^26673169920 is an apocalyptic number.

26673169920 is a gapful number since it is divisible by the number (20) 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 26673169920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47516958720).

26673169920 is an abundant number, since it is smaller than the sum of its proper divisors (68360747520).

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

26673169920 is a wasteful number, since it uses less digits than its factorization.

26673169920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 246 (or 230 counting only the distinct ones).

The product of its (nonzero) digits is 1469664, while the sum is 51.

The spelling of 26673169920 in words is "twenty-six billion, six hundred seventy-three million, one hundred sixty-nine thousand, nine hundred twenty".