26800374744 has 768 divisors, whose sum is σ = 96292385280. Its totient is φ = 6857809920.

The previous prime is 26800374721. The next prime is 26800374749. The reversal of 26800374744 is 44747300862.

It is a super-3 number, since 3×26800374744³ (a number of 32 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 26800374744.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26800374749) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 250470739 + ... + 250470845.

It is an arithmetic number, because the mean of its divisors is an integer number (125380710).

Almost surely, 2^26800374744 is an apocalyptic number.

26800374744 is a gapful number since it is divisible by the number (24) 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 26800374744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48146192640).

26800374744 is an abundant number, since it is smaller than the sum of its proper divisors (69492010536).

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

26800374744 is a wasteful number, since it uses less digits than its factorization.

26800374744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222 (or 206 counting only the distinct ones).

The product of its (nonzero) digits is 903168, while the sum is 45.

The spelling of 26800374744 in words is "twenty-six billion, eight hundred million, three hundred seventy-four thousand, seven hundred forty-four".