26474770080 has 384 divisors, whose sum is σ = 105484861440. Its totient is φ = 6138823680.

The previous prime is 26474770073. The next prime is 26474770081. The reversal of 26474770080 is 8007747462.

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

It is not an unprimeable number, because it can be changed into a prime (26474770081) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1080849 + ... + 1105071.

It is an arithmetic number, because the mean of its divisors is an integer number (274700160).

Almost surely, 2^26474770080 is an apocalyptic number.

26474770080 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 26474770080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52742430720).

26474770080 is an abundant number, since it is smaller than the sum of its proper divisors (79010091360).

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

26474770080 is a wasteful number, since it uses less digits than its factorization.

26474770080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24281 (or 24267 counting only the distinct ones).

The product of its (nonzero) digits is 526848, while the sum is 45.

The spelling of 26474770080 in words is "twenty-six billion, four hundred seventy-four million, seven hundred seventy thousand, eighty".