26276786640 has 320 divisors, whose sum is σ = 98086222080. Its totient is φ = 6427330560.

The previous prime is 26276786629. The next prime is 26276786647. The reversal of 26276786640 is 4668767262.

26276786640 is a `hidden beast` number, since 2 + 627 + 6 + 7 + 8 + 6 + 6 + 4 + 0 = 666.

It is a super-2 number, since 2×26276786640² (a number of 22 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26276786647) by changing a digit.

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, 4574170 + ... + 4579910.

It is an arithmetic number, because the mean of its divisors is an integer number (306519444).

Almost surely, 2^26276786640 is an apocalyptic number.

26276786640 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 26276786640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49043111040).

26276786640 is an abundant number, since it is smaller than the sum of its proper divisors (71809435440).

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

26276786640 is a wasteful number, since it uses less digits than its factorization.

26276786640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5939 (or 5927 counting only the distinct ones).

The product of its (nonzero) digits is 8128512, while the sum is 54.

The spelling of 26276786640 in words is "twenty-six billion, two hundred seventy-six million, seven hundred eighty-six thousand, six hundred forty".