26746442880 has 512 divisors, whose sum is σ = 94285209600. Its totient is φ = 6423183360.

The previous prime is 26746442843. The next prime is 26746442887. The reversal of 26746442880 is 8824464762.

It is not an unprimeable number, because it can be changed into a prime (26746442887) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 75768784 + ... + 75769136.

It is an arithmetic number, because the mean of its divisors is an integer number (184150800).

Almost surely, 2^26746442880 is an apocalyptic number.

26746442880 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 26746442880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47142604800).

26746442880 is an abundant number, since it is smaller than the sum of its proper divisors (67538766720).

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

26746442880 is a wasteful number, since it uses less digits than its factorization.

26746442880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 492 (or 480 counting only the distinct ones).

The product of its (nonzero) digits is 4128768, while the sum is 51.

The spelling of 26746442880 in words is "twenty-six billion, seven hundred forty-six million, four hundred forty-two thousand, eight hundred eighty".