26726398256640 has 320 divisors, whose sum is σ = 92000256606720. Its totient is φ = 6594108456960.

The previous prime is 26726398256567. The next prime is 26726398256683. The reversal of 26726398256640 is 4665289362762.

26726398256640 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (320).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5968245 + ... + 9437835.

It is an arithmetic number, because the mean of its divisors is an integer number (287500801896).

Almost surely, 2^{26726398256640} is an apocalyptic number.

26726398256640 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 26726398256640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46000128303360).

26726398256640 is an abundant number, since it is smaller than the sum of its proper divisors (65273858350080).

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

26726398256640 is a wasteful number, since it uses less digits than its factorization.

26726398256640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3469693 (or 3469677 counting only the distinct ones).

The product of its (nonzero) digits is 313528320, while the sum is 66.

The spelling of 26726398256640 in words is "twenty-six trillion, seven hundred twenty-six billion, three hundred ninety-eight million, two hundred fifty-six thousand, six hundred forty".