26794229760 has 384 divisors, whose sum is σ = 96468568560. Its totient is φ = 7134511104.

The previous prime is 26794229747. The next prime is 26794229779. The reversal of 26794229760 is 6792249762.

26794229760 is a `hidden beast` number, since 2 + 6 + 79 + 422 + 97 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is a junction number, because it is equal to n+sod(n) for n = 26794229697 and 26794229706.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 39812784 + ... + 39813456.

Almost surely, 2^26794229760 is an apocalyptic number.

26794229760 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 26794229760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48234284280).

26794229760 is an abundant number, since it is smaller than the sum of its proper divisors (69674338800).

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

26794229760 is an frugal number, since it uses more digits than its factorization.

26794229760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 723 (or 683 counting only the distinct ones).

The product of its (nonzero) digits is 4572288, while the sum is 54.

The spelling of 26794229760 in words is "twenty-six billion, seven hundred ninety-four million, two hundred twenty-nine thousand, seven hundred sixty".