26244368640 has 648 divisors, whose sum is σ = 111232517760. Its totient is φ = 5680668672.

The previous prime is 26244368629. The next prime is 26244368663. The reversal of 26244368640 is 4686344262.

26244368640 is a `hidden beast` number, since 2 + 6 + 244 + 368 + 6 + 40 = 666.

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 (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 10723897 + ... + 10726343.

It is an arithmetic number, because the mean of its divisors is an integer number (171655120).

Almost surely, 2^26244368640 is an apocalyptic number.

26244368640 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 26244368640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55616258880).

26244368640 is an abundant number, since it is smaller than the sum of its proper divisors (84988149120).

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

26244368640 is a wasteful number, since it uses less digits than its factorization.

26244368640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2507 (or 2483 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 45.

The spelling of 26244368640 in words is "twenty-six billion, two hundred forty-four million, three hundred sixty-eight thousand, six hundred forty".