26747739648 has 400 divisors, whose sum is σ = 91896499200. Its totient is φ = 7587385344.

The previous prime is 26747739647. The next prime is 26747739659. The reversal of 26747739648 is 84693774762.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26747739643) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 57770265 + ... + 57770727.

It is an arithmetic number, because the mean of its divisors is an integer number (229741248).

Almost surely, 2^26747739648 is an apocalyptic number.

26747739648 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 26747739648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45948249600).

26747739648 is an abundant number, since it is smaller than the sum of its proper divisors (65148759552).

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

26747739648 is an equidigital number, since it uses as much as digits as its factorization.

26747739648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 699 (or 674 counting only the distinct ones).

The product of its digits is 85349376, while the sum is 63.

The spelling of 26747739648 in words is "twenty-six billion, seven hundred forty-seven million, seven hundred thirty-nine thousand, six hundred forty-eight".