26473618080 has 1440 divisors, whose sum is σ = 123326461440. Its totient is φ = 5120962560.

The previous prime is 26473618063. The next prime is 26473618081. The reversal of 26473618080 is 8081637462.

26473618080 is a `hidden beast` number, since 26 + 4 + 7 + 3 + 618 + 0 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26473618081) 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 239 ways as a sum of consecutive naturals, for example, 853987665 + ... + 853987695.

It is an arithmetic number, because the mean of its divisors is an integer number (85643376).

Almost surely, 2^26473618080 is an apocalyptic number.

26473618080 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 26473618080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61663230720).

26473618080 is an abundant number, since it is smaller than the sum of its proper divisors (96852843360).

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

26473618080 is a wasteful number, since it uses less digits than its factorization.

26473618080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112 (or 80 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 26473618080 in words is "twenty-six billion, four hundred seventy-three million, six hundred eighteen thousand, eighty".