26410563648 has 448 divisors, whose sum is σ = 94219776000. Its totient is φ = 7091048448.

The previous prime is 26410563607. The next prime is 26410563653. The reversal of 26410563648 is 84636501462.

26410563648 is a `hidden beast` number, since 2 + 6 + 4 + 1 + 0 + 5 + 636 + 4 + 8 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 16413468 + ... + 16415076.

It is an arithmetic number, because the mean of its divisors is an integer number (210312000).

Almost surely, 2^26410563648 is an apocalyptic number.

26410563648 is a gapful number since it is divisible by the number (28) 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 26410563648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47109888000).

26410563648 is an abundant number, since it is smaller than the sum of its proper divisors (67809212352).

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

26410563648 is a wasteful number, since it uses less digits than its factorization.

26410563648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1719 (or 1703 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The spelling of 26410563648 in words is "twenty-six billion, four hundred ten million, five hundred sixty-three thousand, six hundred forty-eight".