26713246676480 has 480 divisors, whose sum is σ = 83004393003840. Its totient is φ = 8162760130560.

The previous prime is 26713246676399. The next prime is 26713246676489. The reversal of 26713246676480 is 8467664231762.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26713246676489) 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, 47008445 + ... + 47573315.

It is an arithmetic number, because the mean of its divisors is an integer number (172925818758).

Almost surely, 2^{26713246676480} is an apocalyptic number.

26713246676480 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 26713246676480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41502196501920).

26713246676480 is an abundant number, since it is smaller than the sum of its proper divisors (56291146327360).

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

26713246676480 is a wasteful number, since it uses less digits than its factorization.

26713246676480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 564950 (or 564927 counting only the distinct ones).

The product of its (nonzero) digits is 97542144, while the sum is 62.

The spelling of 26713246676480 in words is "twenty-six trillion, seven hundred thirteen billion, two hundred forty-six million, six hundred seventy-six thousand, four hundred eighty".