26340605460 has 960 divisors, whose sum is σ = 101428588800. Its totient is φ = 5657444352.

The previous prime is 26340605377. The next prime is 26340605471. The reversal of 26340605460 is 6450604362.

26340605460 is a `hidden beast` number, since 2 + 6 + 3 + 4 + 0 + 605 + 46 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 446450911 + ... + 446450969.

It is an arithmetic number, because the mean of its divisors is an integer number (105654780).

Almost surely, 2^26340605460 is an apocalyptic number.

26340605460 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 26340605460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50714294400).

26340605460 is an abundant number, since it is smaller than the sum of its proper divisors (75087983340).

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

26340605460 is a wasteful number, since it uses less digits than its factorization.

26340605460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182 (or 171 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

The spelling of 26340605460 in words is "twenty-six billion, three hundred forty million, six hundred five thousand, four hundred sixty".