26749410240 has 448 divisors, whose sum is σ = 105296744448. Its totient is φ = 5613158400.

The previous prime is 26749410239. The next prime is 26749410263. The reversal of 26749410240 is 4201494762.

It is a tau number, because it is divible by the number of its divisors (448).

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 4680985 + ... + 4686695.

It is an arithmetic number, because the mean of its divisors is an integer number (235037376).

Almost surely, 2^26749410240 is an apocalyptic number.

26749410240 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 26749410240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52648372224).

26749410240 is an abundant number, since it is smaller than the sum of its proper divisors (78547334208).

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

26749410240 is a wasteful number, since it uses less digits than its factorization.

26749410240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5796 (or 5786 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 39.

The spelling of 26749410240 in words is "twenty-six billion, seven hundred forty-nine million, four hundred ten thousand, two hundred forty".