26440744680 has 256 divisors, whose sum is σ = 101523456000. Its totient is φ = 5995793664.

The previous prime is 26440744669. The next prime is 26440744711. The reversal of 26440744680 is 8644704462.

26440744680 is a `hidden beast` number, since 26 + 440 + 74 + 46 + 80 = 666.

It is a super-2 number, since 2×26440744680² (a number of 22 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 946351 + ... + 973889.

It is an arithmetic number, because the mean of its divisors is an integer number (396576000).

Almost surely, 2^26440744680 is an apocalyptic number.

26440744680 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 26440744680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50761728000).

26440744680 is an abundant number, since it is smaller than the sum of its proper divisors (75082711320).

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

26440744680 is a wasteful number, since it uses less digits than its factorization.

26440744680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27693 (or 27683 counting only the distinct ones).

The product of its (nonzero) digits is 1032192, while the sum is 45.

The spelling of 26440744680 in words is "twenty-six billion, four hundred forty million, seven hundred forty-four thousand, six hundred eighty".