26867800440 has 768 divisors, whose sum is σ = 106257715200. Its totient is φ = 6063413760.

The previous prime is 26867800439. The next prime is 26867800441. The reversal of 26867800440 is 4400876862.

It is an interprime number because it is at equal distance from previous prime (26867800439) and next prime (26867800441).

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 (26867800441) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 866703225 + ... + 866703255.

It is an arithmetic number, because the mean of its divisors is an integer number (138356400).

Almost surely, 2^26867800440 is an apocalyptic number.

26867800440 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 26867800440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53128857600).

26867800440 is an abundant number, since it is smaller than the sum of its proper divisors (79389914760).

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

26867800440 is a wasteful number, since it uses less digits than its factorization.

26867800440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127 (or 73 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The spelling of 26867800440 in words is "twenty-six billion, eight hundred sixty-seven million, eight hundred thousand, four hundred forty".