26074938240 has 768 divisors, whose sum is σ = 102651494400. Its totient is φ = 6053806080.

The previous prime is 26074938233. The next prime is 26074938247. The reversal of 26074938240 is 4283947062.

26074938240 is a `hidden beast` number, since 2 + 607 + 4 + 9 + 38 + 2 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (26074938233) and next prime (26074938247).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26074938247) 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 95 ways as a sum of consecutive naturals, for example, 109100041 + ... + 109100279.

It is an arithmetic number, because the mean of its divisors is an integer number (133660800).

Almost surely, 2^26074938240 is an apocalyptic number.

26074938240 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 26074938240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51325747200).

26074938240 is an abundant number, since it is smaller than the sum of its proper divisors (76576556160).

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

26074938240 is a wasteful number, since it uses less digits than its factorization.

26074938240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 355 (or 340 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 26074938240 in words is "twenty-six billion, seventy-four million, nine hundred thirty-eight thousand, two hundred forty".