26732382768 has 960 divisors, whose sum is σ = 103993344000. Its totient is φ = 6340239360.

The previous prime is 26732382731. The next prime is 26732382773. The reversal of 26732382768 is 86728323762.

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

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 338384553 + ... + 338384631.

It is an arithmetic number, because the mean of its divisors is an integer number (108326400).

Almost surely, 2^26732382768 is an apocalyptic number.

26732382768 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 26732382768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51996672000).

26732382768 is an abundant number, since it is smaller than the sum of its proper divisors (77260961232).

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

26732382768 is a wasteful number, since it uses less digits than its factorization.

26732382768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 175 (or 152 counting only the distinct ones).

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

The spelling of 26732382768 in words is "twenty-six billion, seven hundred thirty-two million, three hundred eighty-two thousand, seven hundred sixty-eight".