26478434688 has 128 divisors (see below), whose sum is σ = 72881856000. Its totient is φ = 8507369472.

The previous prime is 26478434669. The next prime is 26478434729. The reversal of 26478434688 is 88643487462.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×26478434688² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8005131 + ... + 8008437.

It is an arithmetic number, because the mean of its divisors is an integer number (569389500).

Almost surely, 2^26478434688 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 26478434688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36440928000).

26478434688 is an abundant number, since it is smaller than the sum of its proper divisors (46403421312).

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

26478434688 is a wasteful number, since it uses less digits than its factorization.

26478434688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4072 (or 4060 counting only the distinct ones).

The product of its digits is 49545216, while the sum is 60.

The spelling of 26478434688 in words is "twenty-six billion, four hundred seventy-eight million, four hundred thirty-four thousand, six hundred eighty-eight".