26679721728 has 216 divisors, whose sum is σ = 79536283344. Its totient is φ = 7930757120.

The previous prime is 26679721727. The next prime is 26679721753. The reversal of 26679721728 is 82712797662.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26679721721) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4922476 + ... + 4927892.

It is an arithmetic number, because the mean of its divisors is an integer number (368223534).

Almost surely, 2^26679721728 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 26679721728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39768141672).

26679721728 is an abundant number, since it is smaller than the sum of its proper divisors (52856561616).

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

26679721728 is a wasteful number, since it uses less digits than its factorization.

26679721728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5511 (or 5486 counting only the distinct ones).

The product of its digits is 7112448, while the sum is 57.

The spelling of 26679721728 in words is "twenty-six billion, six hundred seventy-nine million, seven hundred twenty-one thousand, seven hundred twenty-eight".