26470726717680 has 1920 divisors, whose sum is σ = 113935107686400. Its totient is φ = 5582873382912.

The previous prime is 26470726717661. The next prime is 26470726717763. The reversal of 26470726717680 is 8671762707462.

26470726717680 is a `hidden beast` number, since 2 + 6 + 470 + 7 + 26 + 71 + 76 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

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 383 ways as a sum of consecutive naturals, for example, 7975511061 + ... + 7975514379.

It is an arithmetic number, because the mean of its divisors is an integer number (59341201920).

Almost surely, 2^{26470726717680} is an apocalyptic number.

26470726717680 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 26470726717680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56967553843200).

26470726717680 is an abundant number, since it is smaller than the sum of its proper divisors (87464380968720).

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

26470726717680 is a wasteful number, since it uses less digits than its factorization.

26470726717680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3473 (or 3455 counting only the distinct ones).

The product of its (nonzero) digits is 66382848, while the sum is 63.

The spelling of 26470726717680 in words is "twenty-six trillion, four hundred seventy billion, seven hundred twenty-six million, seven hundred seventeen thousand, six hundred eighty".