26968170240 has 432 divisors, whose sum is σ = 105206724000. Its totient is φ = 6536724480.

The previous prime is 26968170143. The next prime is 26968170241. The reversal of 26968170240 is 4207186962.

It is a happy number.

26968170240 is a `hidden beast` number, since 269 + 6 + 81 + 70 + 240 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26968170241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4178536 + ... + 4184984.

Almost surely, 2^26968170240 is an apocalyptic number.

26968170240 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 26968170240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52603362000).

26968170240 is an abundant number, since it is smaller than the sum of its proper divisors (78238553760).

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

26968170240 is a wasteful number, since it uses less digits than its factorization.

26968170240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6501 (or 6470 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 26968170240 in words is "twenty-six billion, nine hundred sixty-eight million, one hundred seventy thousand, two hundred forty".