26643414470400 has 2592 divisors, whose sum is σ = 124375571453952. Its totient is φ = 5287447756800.

The previous prime is 26643414470399. The next prime is 26643414470417. The reversal of 26643414470400 is 407441434662.

26643414470400 is a `hidden beast` number, since 2 + 6 + 6 + 4 + 34 + 144 + 70 + 400 = 666.

26643414470400 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×26643414470400² (a number of 28 digits) contains 22 as substring.

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

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 287 ways as a sum of consecutive naturals, for example, 7353962989 + ... + 7353966611.

Almost surely, 2^{26643414470400} is an apocalyptic number.

26643414470400 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 26643414470400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62187785726976).

26643414470400 is an abundant number, since it is smaller than the sum of its proper divisors (97732156983552).

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

26643414470400 is a wasteful number, since it uses less digits than its factorization.

26643414470400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3759 (or 3737 counting only the distinct ones).

The product of its (nonzero) digits is 1548288, while the sum is 45.

The spelling of 26643414470400 in words is "twenty-six trillion, six hundred forty-three billion, four hundred fourteen million, four hundred seventy thousand, four hundred".