26463352200768 has 224 divisors, whose sum is σ = 89113811916800. Its totient is φ = 7543733119488.

The previous prime is 26463352200737. The next prime is 26463352200841. The reversal of 26463352200768 is 86700225336462.

26463352200768 is a `hidden beast` number, since 2 + 6 + 46 + 3 + 3 + 522 + 0 + 0 + 76 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (54).

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 31 ways as a sum of consecutive naturals, for example, 2818371 + ... + 7801917.

Almost surely, 2^{26463352200768} is an apocalyptic number.

26463352200768 is a gapful number since it is divisible by the number (28) 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 26463352200768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44556905958400).

26463352200768 is an abundant number, since it is smaller than the sum of its proper divisors (62650459716032).

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

26463352200768 is a wasteful number, since it uses less digits than its factorization.

26463352200768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4984014 (or 4983998 counting only the distinct ones).

The product of its (nonzero) digits is 17418240, while the sum is 54.

The spelling of 26463352200768 in words is "twenty-six trillion, four hundred sixty-three billion, three hundred fifty-two million, two hundred thousand, seven hundred sixty-eight".