26348682240 has 352 divisors, whose sum is σ = 97721487360. Its totient is φ = 6720012288.

The previous prime is 26348682233. The next prime is 26348682257. The reversal of 26348682240 is 4228684362.

26348682240 is a `hidden beast` number, since 2 + 6 + 348 + 68 + 2 + 240 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3175377 + ... + 3183663.

Almost surely, 2^26348682240 is an apocalyptic number.

26348682240 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 26348682240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48860743680).

26348682240 is an abundant number, since it is smaller than the sum of its proper divisors (71372805120).

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

26348682240 is a wasteful number, since it uses less digits than its factorization.

26348682240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8344 (or 8320 counting only the distinct ones).

The product of its (nonzero) digits is 884736, while the sum is 45.

The spelling of 26348682240 in words is "twenty-six billion, three hundred forty-eight million, six hundred eighty-two thousand, two hundred forty".