26320229744640 has 960 divisors, whose sum is σ = 94331212416000. Its totient is φ = 6224389079040.

The previous prime is 26320229744581. The next prime is 26320229744657. The reversal of 26320229744640 is 4644792202362.

It is a tau number, because it is divible by the number of its divisors (960).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8776333861 + ... + 8776336859.

It is an arithmetic number, because the mean of its divisors is an integer number (98261679600).

Almost surely, 2^{26320229744640} is an apocalyptic number.

26320229744640 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 26320229744640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47165606208000).

26320229744640 is an abundant number, since it is smaller than the sum of its proper divisors (68010982671360).

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

26320229744640 is a wasteful number, since it uses less digits than its factorization.

26320229744640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3156 (or 3130 counting only the distinct ones).

The product of its (nonzero) digits is 6967296, while the sum is 51.

The spelling of 26320229744640 in words is "twenty-six trillion, three hundred twenty billion, two hundred twenty-nine million, seven hundred forty-four thousand, six hundred forty".