26963667880 has 64 divisors (see below), whose sum is σ = 61743384000. Its totient is φ = 10594612224.

The previous prime is 26963667877. The next prime is 26963667881. The reversal of 26963667880 is 8876636962.

It is a Smith number, since the sum of its digits (61) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (26963667881) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3817312 + ... + 3824368.

It is an arithmetic number, because the mean of its divisors is an integer number (964740375).

Almost surely, 2^26963667880 is an apocalyptic number.

26963667880 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 26963667880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30871692000).

26963667880 is an abundant number, since it is smaller than the sum of its proper divisors (34779716120).

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

26963667880 is a wasteful number, since it uses less digits than its factorization.

26963667880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8746 (or 8742 counting only the distinct ones).

The product of its (nonzero) digits is 31352832, while the sum is 61.

The spelling of 26963667880 in words is "twenty-six billion, nine hundred sixty-three million, six hundred sixty-seven thousand, eight hundred eighty".